Deck 2: Graphs
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Deck 2: Graphs
1
Name the quadrant in which the point is located.
(-9, -10)
A)I
B)II
C)III
D)IV
(-9, -10)
A)I
B)II
C)III
D)IV
III
2
Plot the point in the xy-plane. Tell in which quadrant or on what axis the point lies.
(-5, 0)
A)
B)
C)
D)
(-5, 0)

A)

B)

C)

D)


3
Name the quadrant in which the point is located.
(10, -18)
A)I
B)II
C)III
D)IV
(10, -18)
A)I
B)II
C)III
D)IV
IV
4
Identify the points in the graph for the ordered pairs. 
(3, 5), (-3, 0)
A)D and G
B)D and J
C)I and G
D)L and J

(3, 5), (-3, 0)
A)D and G
B)D and J
C)I and G
D)L and J
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5
Give the coordinates of the points shown on the graph.

A)C = (-7, 6), D = (6, -5)
B)C = (6, -7), D = (-5, 6)
C)C = (-7, -5), D = (6, -5)
D)C = (-7, 6), D = (-5, 6)

A)C = (-7, 6), D = (6, -5)
B)C = (6, -7), D = (-5, 6)
C)C = (-7, -5), D = (6, -5)
D)C = (-7, 6), D = (-5, 6)
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6
Identify the points in the graph for the ordered pairs. 
(-5, -4), (0, -3)
A)I and J
B)A and G
C)G and I
D)A and J

(-5, -4), (0, -3)
A)I and J
B)A and G
C)G and I
D)A and J
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7
Find the distance d(
between the points 

A)
B)
C)18
D)7



A)

B)

C)18
D)7
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8
Name the quadrant in which the point is located.
(11, 3)
A)I
B)II
C)III
D)IV
(11, 3)
A)I
B)II
C)III
D)IV
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9
Name the quadrant in which the point is located.
(-18, 10)
A)I
B)II
C)III
D)IV
(-18, 10)
A)I
B)II
C)III
D)IV
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10
Identify the points in the graph for the ordered pairs. 
(-3, 4), (2, 0), (4, -5)
A)B, F, and L
B)B, C, and L
C)F, K, and L
D)A, B, and F

(-3, 4), (2, 0), (4, -5)
A)B, F, and L
B)B, C, and L
C)F, K, and L
D)A, B, and F
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11
Plot the point in the xy-plane. Tell in which quadrant or on what axis the point lies.
(-4, 2)
A)
B)
C)
D)
Q
(-4, 2)

A)

B)

C)

D)

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12
Plot the point in the xy-plane. Tell in which quadrant or on what axis the point lies.
(1, 2)
A)
B)
C)
D)
(1, 2)

A)

B)

C)

D)

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13
Plot the point in the xy-plane. Tell in which quadrant or on what axis the point lies.
(-5, -4)
A)
B)
C)
D)
Q
(-5, -4)

A)

B)

C)

D)

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14
Give the coordinates of the points shown on the graph.

A)G = (3, -7), H = (-4, -7)
B)G = (-7, 3), H = (-7, -4)
C)G = (3, -7), H = (-7, -7)
D)G = (3, -7), H = (-7, -4)

A)G = (3, -7), H = (-4, -7)
B)G = (-7, 3), H = (-7, -4)
C)G = (3, -7), H = (-7, -7)
D)G = (3, -7), H = (-7, -4)
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15
Give the coordinates of the points shown on the graph.

A)A = (1, 6), B = (-5, 7)
B)A = (6, 18), B = (7, -5)
C)A = (1, 7), B = (6, 7)
D)A = (1, 6), B = (7, -5)

A)A = (1, 6), B = (-5, 7)
B)A = (6, 18), B = (7, -5)
C)A = (1, 7), B = (6, 7)
D)A = (1, 6), B = (7, -5)
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16
Plot the point in the xy-plane. Tell in which quadrant or on what axis the point lies.
(0, -3)
A)
B)
C)
D)
(0, -3)

A)

B)

C)

D)

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17
Find the distance d(
between the points 

A)
B)
C)9
D)7



A)

B)

C)9
D)7
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18
Plot the point in the xy-plane. Tell in which quadrant or on what axis the point lies.
(3, -1)
A)
B)
Q
C)
D)
(3, -1)

A)

B)

C)

D)

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19
Identify the points in the graph for the ordered pairs. 
(0, 2), (4, 3)
A)C and E
B)F and E
C)B and C
D)C and K

(0, 2), (4, 3)
A)C and E
B)F and E
C)B and C
D)C and K
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20
Give the coordinates of the points shown on the graph.

A)E = (-3, 2), F = (-2, -7)
B)E = (2, -3), F = (-7, -2)
C)E = (-3, -7), F = (2, -7)
D)E = (-2, -7), F = (-3, 2)

A)E = (-3, 2), F = (-2, -7)
B)E = (2, -3), F = (-7, -2)
C)E = (-3, -7), F = (2, -7)
D)E = (-2, -7), F = (-3, 2)
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21
Find the distance d(
between the points 

A)5
B)10
C)
D)25



A)5
B)10
C)

D)25
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22
Solve the problem.
A motorcycle and a car leave an intersection at the same time. The motorcycle heads north at an averagespeed of 20 miles per hour, while the car heads east at an average speed of 48 miles per hour. Find anexpression for their distance apart in miles at the end of t hours.
A)52t miles
B)
miles
C)
miles
D)
miles
A motorcycle and a car leave an intersection at the same time. The motorcycle heads north at an averagespeed of 20 miles per hour, while the car heads east at an average speed of 48 miles per hour. Find anexpression for their distance apart in miles at the end of t hours.
A)52t miles
B)

C)

D)

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23
Find the distance d(
between the points 

A)
B)
C)12
D)6



A)

B)

C)12
D)6
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24
Solve the problem.
Find all values of k so that the given points are
units apart.(-5, 5), (k, 0)
A)-3, -7
B)-7
C)3, 7
D)7
Find all values of k so that the given points are

A)-3, -7
B)-7
C)3, 7
D)7
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25
Decide whether or not the points are the vertices of a right triangle.
(-7, -1), (1, -1), (1, 4)
A)Yes
B)No
(-7, -1), (1, -1), (1, 4)
A)Yes
B)No
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26
Find the distance d(
between the points 

A)
B)
C)12
D)6



A)

B)

C)12
D)6
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27
Solve the problem.
A middle schoolʹs baseball playing field is a square, 55 feet on a side. How far is it directly from homeplate to second base (the diagonal of the square)? If necessary, round to the nearest foot.
A)78 feet
B)79 feet
C)77 feet
D)85 feet
A middle schoolʹs baseball playing field is a square, 55 feet on a side. How far is it directly from homeplate to second base (the diagonal of the square)? If necessary, round to the nearest foot.
A)78 feet
B)79 feet
C)77 feet
D)85 feet
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28
Find the distance d(
between the points 
Round to three decimal places, if necessary.
A)2
B)14
C)6.325
D)2.1



A)2
B)14
C)6.325
D)2.1
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29
Find the distance d(
between the points 

A)
B)
C)90
D)1



A)

B)

C)90
D)1
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30
Find the distance d(
between the points 

A)9
B)3
C)10
D)8



A)9
B)3
C)10
D)8
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31
Find the distance d(
between the points 

A)5
B)25
C)6
D)10



A)5
B)25
C)6
D)10
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32
Find the distance d(
between the points 

A)
B)109
C)7
D)



A)

B)109
C)7
D)

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33
Decide whether or not the points are the vertices of a right triangle.
(-6, -6), (0, -4), (6, -11)
A)Yes
B)No
(-6, -6), (0, -4), (6, -11)
A)Yes
B)No
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34
Decide whether or not the points are the vertices of a right triangle.
(3, 0), (9, 2), (8, -3)
A)Yes
B)No
(3, 0), (9, 2), (8, -3)
A)Yes
B)No
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35
Solve the problem.
Find the area of the right triangle ABC with A = (-2, 7), B = (7, -1), C = (3, 9).
A)29 square units
B)58 square units
C)
square units
D)
square units
Find the area of the right triangle ABC with A = (-2, 7), B = (7, -1), C = (3, 9).
A)29 square units
B)58 square units
C)

D)

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36
Decide whether or not the points are the vertices of a right triangle.
(3, 2), (5, 6), (7, 5)
A)Yes
B)No
(3, 2), (5, 6), (7, 5)
A)Yes
B)No
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37
Find the distance d(
between the points 

A)
B)
C)12
D)6



A)

B)

C)12
D)6
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38
Solve the problem.
A rectangular city park has a jogging loop that goes along a length, width, and diagonal of the park. To thenearest yard, find the length of the jogging loop, if the length of the park is 125 yards and its width is 75yards.
A)346 yards
B)146 yards
C)345 yards
D)145 yards
A rectangular city park has a jogging loop that goes along a length, width, and diagonal of the park. To thenearest yard, find the length of the jogging loop, if the length of the park is 125 yards and its width is 75yards.
A)346 yards
B)146 yards
C)345 yards
D)145 yards
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39
Solve the problem.
Find all the points having an x-coordinate of 9 whose distance from the point (3, -2)is 10.
A)(9, 6), (9, -10)
B)(9, 2), (9, -4)
C)(9, -12), (9, 8)
D)(9, 13), (9, -7)
Find all the points having an x-coordinate of 9 whose distance from the point (3, -2)is 10.
A)(9, 6), (9, -10)
B)(9, 2), (9, -4)
C)(9, -12), (9, 8)
D)(9, 13), (9, -7)
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40
Find the distance d(
between the points 

A)
B)
C)45
D)3



A)

B)

C)45
D)3
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41
Solve the problem.
If (2, -3)is the endpoint of a line segment, and (3, 1)is its midpoint, find the other endpoint.
A)(4, 5)
B)(4, -7)
C)(0, -11)
D)(10, -1)
If (2, -3)is the endpoint of a line segment, and (3, 1)is its midpoint, find the other endpoint.
A)(4, 5)
B)(4, -7)
C)(0, -11)
D)(10, -1)
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42
Graph the equation by plotting points.
y = 2x + 4
A)
B)
C)
D)
y = 2x + 4

A)

B)

C)

D)

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43
Graph the equation by plotting points.

A)
B)
C)
D)

A)

B)

C)

D)

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44
Find the midpoint of the line segment joining the points P1 and P2.

A)
B)
C)8, -13
D)0, -3

A)

B)

C)8, -13
D)0, -3
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45
Find the midpoint of the line segment joining the points P1 and P2.

A)(0.75, -1.05)
B)(-1.05, 0.75)
C)(1.05, -1.45)
D)(-1.45, 1.05)

A)(0.75, -1.05)
B)(-1.05, 0.75)
C)(1.05, -1.45)
D)(-1.45, 1.05)
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46
Solve the problem.
If (8, -4)is the endpoint of a line segment, and (12, -5)is its midpoint, find the other endpoint.
A)(16, -6)
B)(16, -3)
C)(0, -2)
D)(6, 4)
If (8, -4)is the endpoint of a line segment, and (12, -5)is its midpoint, find the other endpoint.
A)(16, -6)
B)(16, -3)
C)(0, -2)
D)(6, 4)
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47
Solve the problem.
If (a, 3)is a point on the graph of
what is a?
A)4
B)1
C)-1
D)-4
If (a, 3)is a point on the graph of

A)4
B)1
C)-1
D)-4
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48
Graph the equation by plotting points.

A)
B)
C)
D)

A)

B)

C)

D)

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49
Determine whether the given point is on the graph of the equation.
Equation:
Point: (-9, 78)
A)No
B)Yes
Equation:

A)No
B)Yes
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50
Find the midpoint of the line segment joining the points P1 and P2.
= (3, 4);
= (1, 8)
A)(2, 6)
B)(4, 12)
C)(2, -4)
D)(6, 2)


A)(2, 6)
B)(4, 12)
C)(2, -4)
D)(6, 2)
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51
Graph the equation by plotting points.

A)
B)
C)
D)

A)

B)

C)

D)

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52
Solve the problem.
If (8, -6)is the endpoint of a line segment, and (4, -1)is its midpoint, find the other endpoint.
A)(0, 4)
B)(0, -11)
C)(16, -16)
D)(18, -14)
If (8, -6)is the endpoint of a line segment, and (4, -1)is its midpoint, find the other endpoint.
A)(0, 4)
B)(0, -11)
C)(16, -16)
D)(18, -14)
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53
Find the midpoint of the line segment joining the points P1 and P2.

A)
B)y, 11
C)
D)

A)

B)y, 11
C)

D)

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54
Solve the problem.
If (2, -5)is the endpoint of a line segment, and (1, -10)is its midpoint, find the other endpoint.
A)(0, -15)
B)(0, 0)
C)(4, 5)
D)(-8, -7)
If (2, -5)is the endpoint of a line segment, and (1, -10)is its midpoint, find the other endpoint.
A)(0, -15)
B)(0, 0)
C)(4, 5)
D)(-8, -7)
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55
Find the midpoint of the line segment joining the points P1 and P2.

A)
B)17a, 13
C)a, 1
D)

A)

B)17a, 13
C)a, 1
D)

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56
Solve the problem.
The medians of a triangle intersect at a point. The distance from the vertex to the point is exactlytwo-thirds of the distance from the vertex to the midpoint of the opposite side. Find the exact distance ofthat point from the vertex A(3, 4)of a triangle, given that the other two vertices are at (0, 0)and (8, 0).
A)
B)
C)2
D)
The medians of a triangle intersect at a point. The distance from the vertex to the point is exactlytwo-thirds of the distance from the vertex to the midpoint of the opposite side. Find the exact distance ofthat point from the vertex A(3, 4)of a triangle, given that the other two vertices are at (0, 0)and (8, 0).
A)

B)

C)2
D)

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57
Determine whether the given point is on the graph of the equation.

A)No
B)Yes

A)No
B)Yes
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58
Solve the problem.
Find the length of each side of the triangle determined by the three points
State whetherthe triangle is an isosceles triangle, a right triangle, neither of these, or both. 
A)
both
B)
isosceles triangle
C)
right triangle
D)
neither
Find the length of each side of the triangle determined by the three points


A)

B)

C)

D)

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59
Graph the equation by plotting points.
y = x - 3
A)
B)
C)
D)
y = x - 3

A)

B)

C)

D)

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60
Find the midpoint of the line segment joining the points P1 and P2.

A)
B)
C)-9, -15
D)9, 15

A)

B)

C)-9, -15
D)9, 15
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61
List the intercepts for the graph of the equation.

A)(-4, 0), (0, -2), (0, 2), (4, 0)
B)(-2, 0), (-4, 0), (4, 0), (2, 0)
C)(-16, 0), (0, -4), (0, 4), (16, 0)
D)(-4, 0), (-16, 0), (16, 0), (4, 0)

A)(-4, 0), (0, -2), (0, 2), (4, 0)
B)(-2, 0), (-4, 0), (4, 0), (2, 0)
C)(-16, 0), (0, -4), (0, 4), (16, 0)
D)(-4, 0), (-16, 0), (16, 0), (4, 0)
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62
List the intercepts for the graph of the equation.

A)(0, -5), (-25, 0), (0, 5)
B)(-5, 0), (0, -25), (5, 0)
C)(0, -5), (25, 0), (0, 5)
D)(5, 0), (0, 25), (0, -25)

A)(0, -5), (-25, 0), (0, 5)
B)(-5, 0), (0, -25), (5, 0)
C)(0, -5), (25, 0), (0, 5)
D)(5, 0), (0, 25), (0, -25)
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63
List the intercepts for the graph of the equation.

A)(-1, 0), (0, -3), (0, 3), (1, 0)
B)(-1, 0), (0, -9), (0, 9), (1, 0)
C)(-3, 0), (0, -1), (0, 1), (3, 0)
D)(-9, 0), (0, -1), (0, 1), (9, 0)

A)(-1, 0), (0, -3), (0, 3), (1, 0)
B)(-1, 0), (0, -9), (0, 9), (1, 0)
C)(-3, 0), (0, -1), (0, 1), (3, 0)
D)(-9, 0), (0, -1), (0, 1), (9, 0)
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64
List the intercepts of the graph.

A)(-4, 0), (0, 4), (4, 0)
B)(-2, 0), (0, 2), (2, 0)
C)(-2, 0), (0, 4), (2, 0)
D)(-2, 0), (2, 0)

A)(-4, 0), (0, 4), (4, 0)
B)(-2, 0), (0, 2), (2, 0)
C)(-2, 0), (0, 4), (2, 0)
D)(-2, 0), (2, 0)
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65
List the intercepts for the graph of the equation.

A)(0, 0)
B)(1, 0)
C)(0, 1)
D)(1, 1)

A)(0, 0)
B)(1, 0)
C)(0, 1)
D)(1, 1)
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66
Solve the problem.
The height of a baseball (in feet)at time t (in seconds)is given by
Which one of thefollowing points is not on the graph of the equation?
A)(2, 117)
B)(1, 69)
C)(3, 101)
D)(4, 69)
The height of a baseball (in feet)at time t (in seconds)is given by

A)(2, 117)
B)(1, 69)
C)(3, 101)
D)(4, 69)
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67
List the intercepts of the graph.

A)(-2, 0), (0, -2), (0, 2), (2, 0)
B)(-2, 0), (0, 2)
C)(-2, 0), (0, -2), (0, 0), (0, 2), (2, 0)
D)(0, 2), (2, 0)

A)(-2, 0), (0, -2), (0, 2), (2, 0)
B)(-2, 0), (0, 2)
C)(-2, 0), (0, -2), (0, 0), (0, 2), (2, 0)
D)(0, 2), (2, 0)
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68
Solve the problem.
If (3, b)is a point on the graph of
what is b?
A)-4
B)4
C)
D)
If (3, b)is a point on the graph of

A)-4
B)4
C)

D)

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69
List the intercepts of the graph.

A)(-1, 0), (0, 3), (3, 0)
B)(-1, 0), (0, 3), (0, 3)
C)(0, -1), (3, 0), (0, 3)
D)(0, -1), (0, 3), (3, 0)

A)(-1, 0), (0, 3), (3, 0)
B)(-1, 0), (0, 3), (0, 3)
C)(0, -1), (3, 0), (0, 3)
D)(0, -1), (0, 3), (3, 0)
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70
List the intercepts for the graph of the equation.

A)(-5, 0), (-2, 0), (0, 10)
B)(5, 0), (2, 0), (0, 10)
C)(0, -5), (0, -2), (10, 0)
D)(0, 5), (0, 2), (10, 0)

A)(-5, 0), (-2, 0), (0, 10)
B)(5, 0), (2, 0), (0, 10)
C)(0, -5), (0, -2), (10, 0)
D)(0, 5), (0, 2), (10, 0)
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71
List the intercepts of the graph.

A)(-3, 0), (1, 0)(5, 0), (0, 3)
B)(3, 0), (0, -3), (0, 1), (0, 5)
C)(3, 0), (1, 0), (-5, 0), (0, 3)
D)(3, 0), (0, 3), (0, 1), (0, -5)

A)(-3, 0), (1, 0)(5, 0), (0, 3)
B)(3, 0), (0, -3), (0, 1), (0, 5)
C)(3, 0), (1, 0), (-5, 0), (0, 3)
D)(3, 0), (0, 3), (0, 1), (0, -5)
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72
List the intercepts of the graph.

A)
B)
C)
D)

A)

B)

C)

D)

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73
List the intercepts for the graph of the equation.

A)(0, -16), (-2, 0), (2, 0)
B)(0, -16)
C)(0, 16), (-2, 0), (2, 0)
D)(0, 16)

A)(0, -16), (-2, 0), (2, 0)
B)(0, -16)
C)(0, 16), (-2, 0), (2, 0)
D)(0, 16)
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74
List the intercepts for the graph of the equation.

A)(0, 0)
B)(0, -4)
C)(-4, 0)
D)(-4, -4)

A)(0, 0)
B)(0, -4)
C)(-4, 0)
D)(-4, -4)
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75
List the intercepts of the graph.

A)(-5, 0)
B)(0, -5)
C)(5, 0)
D)(0, 5)

A)(-5, 0)
B)(0, -5)
C)(5, 0)
D)(0, 5)
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76
List the intercepts for the graph of the equation.
y = x - 3
A)(3, 0), (0, -3)
B)(-3, 0), (0, 3)
C)(3, 0), (0, 3)
D)(-3, 0), (0, -3)
y = x - 3
A)(3, 0), (0, -3)
B)(-3, 0), (0, 3)
C)(3, 0), (0, 3)
D)(-3, 0), (0, -3)
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77
List the intercepts of the graph.

A)(0, -1)
B)(0, 0)
C)(-1, -1)
D)(-1, 0)

A)(0, -1)
B)(0, 0)
C)(-1, -1)
D)(-1, 0)
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78
List the intercepts for the graph of the equation.

A)(0, -64), (4, 0)
B)(-64, 0), (0, 4)
C)(0, -4), (0, 4)
D)(0, -4), (-4, 0)

A)(0, -64), (4, 0)
B)(-64, 0), (0, 4)
C)(0, -4), (0, 4)
D)(0, -4), (-4, 0)
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79
List the intercepts of the graph.

A)(-2, 0), (2, 0)
B)(0, -2), (2, 0)
C)(0, -2), (0, 2)
D)(-2, 0), (0, 2)

A)(-2, 0), (2, 0)
B)(0, -2), (2, 0)
C)(0, -2), (0, 2)
D)(-2, 0), (0, 2)
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80
List the intercepts for the graph of the equation.

A)(-9, 0), (0, 81), (9, 0)
B)(-9, 0), (0, -81), (9, 0)
C)(0, -9), (81, 0), (0, 9)
D)(9, 0), (0, 81), (0, -81)

A)(-9, 0), (0, 81), (9, 0)
B)(-9, 0), (0, -81), (9, 0)
C)(0, -9), (81, 0), (0, 9)
D)(9, 0), (0, 81), (0, -81)
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