Question 1

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form.
-(10, -6)and (10, 4)

Accepted Answer

A) y = 10 
B) y = -6 
C) x = 10 
D) x = -6 
A) y = 10 
B) y = -6 
C) x = 10 
D) x = -6

Question 2

Find the slope and y-intercept of the line.
-7x - 9y = 8

Accepted Answer

A)  slope $= \frac { 7 } { 9 } ; y$-intercept $= - \frac { 8 } { 9 }$ 
B)  slope $= \frac { 9 } { 7 } ; y$-intercept $= \frac { 8 } { 7 }$ 
C)  slope $= 7 ; y$-intercept $= 8$ 
D)  slope $= \frac { 7 } { 9 } ; \mathrm { y }$-intercept $= \frac { 8 } { 9 }$ 
A)  slope $= \frac { 7 } { 9 } ; y$-intercept $= - \frac { 8 } { 9 }$ 
B)  slope $= \frac { 9 } { 7 } ; y$-intercept $= \frac { 8 } { 7 }$ 
C)  slope $= 7 ; y$-intercept $= 8$ 
D)  slope $= \frac { 7 } { 9 } ; \mathrm { y }$-intercept $= \frac { 8 } { 9 }$

Question 3

Plot the ordered pair in the Cartesian plane, and state in which quadrant or on which axis it lies.
-(2, 3)

Accepted Answer

A)  Quadrant II
  
B)  Quadrant IV
  
C)  Quadrant I
  
D)  Quadrant I
  
A)  Quadrant II
  
B)  Quadrant IV
  
C)  Quadrant I
  
D)  Quadrant I

Question 4

Find the equation of the line described, and express your answer in the specified form.
-Perpendicular to the line x - 3y = 6; passes through the point (5, 5); slope-intercept form

Accepted Answer

A)  $y = 3 x - 20$ 
B)  $y = - \frac { 1 } { 3 } x - \frac { 20 } { 3 }$ 
C)  $y = - 3 x + 20$ 
D)  $y = - 3 x - 20$ 
A)  $y = 3 x - 20$ 
B)  $y = - \frac { 1 } { 3 } x - \frac { 20 } { 3 }$ 
C)  $y = - 3 x + 20$ 
D)  $y = - 3 x - 20$

Question 5

Decide whether the pair of lines is parallel, perpendicular, or neither.
-3x - 4y = 6 16x + 8y = 6

Accepted Answer

A) parallel 
B) perpendicular 
C) neither 
A) parallel 
B) perpendicular 
C) neither

Question 6

Find the equation of the line described, and express your answer in the specified form.
-Perpendicular to the line $2 x - y = 5$; passes through the point $\left( 0 , \frac { 5 } { 2 } \right)$; standard form

Accepted Answer

A)  $y = \frac { 1 } { 2 } x + \frac { 5 } { 2 }$ 
B)  $y = - \frac { 1 } { 2 } x + 5$ 
C)  $y = - \frac { 1 } { 2 } x + \frac { 5 } { 2 }$ 
D)  $y = 2$ 
A)  $y = \frac { 1 } { 2 } x + \frac { 5 } { 2 }$ 
B)  $y = - \frac { 1 } { 2 } x + 5$ 
C)  $y = - \frac { 1 } { 2 } x + \frac { 5 } { 2 }$ 
D)  $y = 2$

Question 7

Find the equation of the line passing through the indicated two points in standard form.
-(-7, 6)and (0, -3)

Accepted Answer

A)  $- 13 x + 3 y = - 9$ 
B)  $9 x - 7 y = 21$ 
C)  $13 x - 3 y = - 9$ 
D)  $- 9 x - 7 y = 21$ 
A)  $- 13 x + 3 y = - 9$ 
B)  $9 x - 7 y = 21$ 
C)  $13 x - 3 y = - 9$ 
D)  $- 9 x - 7 y = 21$

Question 8

Determine whether the indicated ordered pair lies on the graph of the given equation.
-$$y = \sqrt { x } - 4 , ( 9 , - 1 )$$

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 9

Find the slope and y-intercept of the line.
-x + y = -5

Accepted Answer

A) slope = 1; y-intercept = -5 
B) slope = -1; y-intercept = -5 
C) slope = 0; y-intercept = -5 
D) slope = -1; y-intercept = 5 
A) slope = 1; y-intercept = -5 
B) slope = -1; y-intercept = -5 
C) slope = 0; y-intercept = -5 
D) slope = -1; y-intercept = 5

Question 10

Write the standard form of the equation of the circle.
-Center (0, 0), r = 2

Accepted Answer

A)  $x ^ { 2 } + y ^ { 2 } = 2$ 
B)  $x ^ { 2 } + y ^ { 2 } = 4$ 
C)  $( x - 2 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 4$ 
D)  $( x - 2 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 2$ 
A)  $x ^ { 2 } + y ^ { 2 } = 2$ 
B)  $x ^ { 2 } + y ^ { 2 } = 4$ 
C)  $( x - 2 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 4$ 
D)  $( x - 2 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 2$

Question 11

Graph the equation.
-$$( x + 4 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 9$$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 12

Choose the appropriate response.
-Parallel lines .

Accepted Answer

A) have opposite slopes 
B) have the same slope 
C) always intersect at (0, 0) 
D) have slopes that are negative reciprocals of each other 
A) have opposite slopes 
B) have the same slope 
C) always intersect at (0, 0) 
D) have slopes that are negative reciprocals of each other

Question 13

Find the slope and y-intercept of the line.
-x + 6y = 1

Accepted Answer

A)  slope $= \frac { 1 } { 6 } ; y$-intercept $= \frac { 1 } { 6 }$ 
B)  slope $= - 6 ; y$-intercept $= 6$ 
C)  slope $= - \frac { 1 } { 6 } ; \mathrm { y }$-intercept $= \frac { 1 } { 6 }$ 
D)  slope $= 1 ; y$-intercept $= 1$ 
A)  slope $= \frac { 1 } { 6 } ; y$-intercept $= \frac { 1 } { 6 }$ 
B)  slope $= - 6 ; y$-intercept $= 6$ 
C)  slope $= - \frac { 1 } { 6 } ; \mathrm { y }$-intercept $= \frac { 1 } { 6 }$ 
D)  slope $= 1 ; y$-intercept $= 1$

Question 14

Find the equation of the line described, and express your answer in the specified form.
-Parallel to the line -2x - y = 7; passes through the point (0, 0); slope-intercept form

Accepted Answer

A)  $y = - \frac { 1 } { 2 } x$ 
B)  $y = \frac { 1 } { 2 } x + 7$ 
C)  $y = - 2 x$ 
D)  $y = \frac { 1 } { 2 } x$ 
A)  $y = - \frac { 1 } { 2 } x$ 
B)  $y = \frac { 1 } { 2 } x + 7$ 
C)  $y = - 2 x$ 
D)  $y = \frac { 1 } { 2 } x$

Question 15

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form.
-(-6, 0)and (0, 7)

Accepted Answer

A)  $y = - \frac { 6 } { 7 } x + 7$ 
B)  $y = \frac { 6 } { 7 } x + 7$ 
C)  $y = \frac { 7 } { 6 } x + 7$ 
D)  $y = - \frac { 7 } { 6 } x + 7$ 
A)  $y = - \frac { 6 } { 7 } x + 7$ 
B)  $y = \frac { 6 } { 7 } x + 7$ 
C)  $y = \frac { 7 } { 6 } x + 7$ 
D)  $y = - \frac { 7 } { 6 } x + 7$

Question 16

Plot the ordered pair in the Cartesian plane, and state in which quadrant or on which axis it lies.
-(1, -5)

Accepted Answer

A)  Quadrant I
  
B)  Quadrant II
  
C)  Quadrant III
  
D)  Quadrant IV
  
A)  Quadrant I
  
B)  Quadrant II
  
C)  Quadrant III
  
D)  Quadrant IV

Question 17

Determine whether the points A, B, and C form a right triangle.
-A = (-6, 7); B = (-4, 11); C = (-2, 10)

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 18

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form.
-(3, -7)and (8, 3)

Accepted Answer

A)  $y = 10 x - 37$ 
B)  $y = 2 x - 13$ 
C)  $y = 5 x - 22$ 
D)  $x = 3$ 
A)  $y = 10 x - 37$ 
B)  $y = 2 x - 13$ 
C)  $y = 5 x - 22$ 
D)  $x = 3$

Question 19

Find the distance d(A, B)between the points A and B.
-A = (7, -5); B = (3, -3)

Accepted Answer

A)  $12 \sqrt { 3 }$ 
B)  6 
C)  12 
D)  $2 \sqrt { 5 }$ 
A)  $12 \sqrt { 3 }$ 
B)  6 
C)  12 
D)  $2 \sqrt { 5 }$

Question 20

Find the center and radius of the circle with the given equation.
-$$x ^ { 2 } - 12 x + 36 + y ^ { 2 } - 8 y + 16 = 4$$

Accepted Answer

A)  Center $( 6,4 ) , r = 2$ 
B)  Center $( - 4 , - 6 ) , r = 4$ 
C)  Center $( 4,6 ) , \mathrm { r } = 2$ 
D)  Center $( - 6 , - 4 ) , \mathrm { r } = 4$ 
A)  Center $( 6,4 ) , r = 2$ 
B)  Center $( - 4 , - 6 ) , r = 4$ 
C)  Center $( 4,6 ) , \mathrm { r } = 2$ 
D)  Center $( - 6 , - 4 ) , \mathrm { r } = 4$

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form. -(10, -6)and (10, 4)

Find the slope and y-intercept of the line. -7x - 9y = 8

Plot the ordered pair in the Cartesian plane, and state in which quadrant or on which axis it lies. -(2, 3)

Find the equation of the line described, and express your answer in the specified form. -Perpendicular to the line x - 3y = 6; passes through the point (5, 5); slope-intercept form

Decide whether the pair of lines is parallel, perpendicular, or neither. -3x - 4y = 6 16x + 8y = 6

Find the equation of the line described, and express your answer in the specified form. -Perpendicular to the line $2 x - y = 5$ ; passes through the point $\left( 0 , \frac { 5 } { 2 } \right)$ ; standard form

Find the equation of the line passing through the indicated two points in standard form. -(-7, 6)and (0, -3)

Determine whether the indicated ordered pair lies on the graph of the given equation. - $y = \sqrt { x } - 4 , ( 9 , - 1 )$

Find the slope and y-intercept of the line. -x + y = -5

Write the standard form of the equation of the circle. -Center (0, 0), r = 2

Graph the equation. - $( x + 4 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 9$ $Graph the equation. - ( x + 4 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 9$

Choose the appropriate response. -Parallel lines .

Find the slope and y-intercept of the line. -x + 6y = 1

Find the equation of the line described, and express your answer in the specified form. -Parallel to the line -2x - y = 7; passes through the point (0, 0); slope-intercept form

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form. -(-6, 0)and (0, 7)

Plot the ordered pair in the Cartesian plane, and state in which quadrant or on which axis it lies. -(1, -5)

Determine whether the points A, B, and C form a right triangle. -A = (-6, 7); B = (-4, 11); C = (-2, 10)

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form. -(3, -7)and (8, 3)

Find the distance d(A, B)between the points A and B. -A = (7, -5); B = (3, -3)

Find the center and radius of the circle with the given equation. - $x ^ { 2 } - 12 x + 36 + y ^ { 2 } - 8 y + 16 = 4$

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Exam 2: The Rectangular Coordinate System, Lines, and Circles