Deck 3: Graphs of Linear Equations

Question 1

Plot the ordered pairs on the rectangular coordinate system provided
- $\mathrm{A}(2,6), \mathrm{B}(-4,6)$

Answer 1

Question 2

Plot the ordered pairs on the rectangular coordinate system provided
- $\mathrm{A}(3,-3), \mathrm{B}(-2,1)$

Answer 2

Question 3

Plot the ordered pairs on the rectangular coordinate system provided
- $\mathrm{A}(-2,-3), \mathrm{B}(-5,1)$

Answer 3

Question 4

Plot the ordered pairs on the rectangular coordinate system provided
- $\mathrm{A}(4,1), \mathrm{B}(3,-3)$

Question 5

Plot the ordered pairs on the rectangular coordinate system provided
- $A(6,3), B(-2,-6)$

Question 6

Plot the ordered pairs on the rectangular coordinate system provided
- $\mathrm{A}\left(-\frac{2}{3},-6\right), \mathrm{B}(-5,5)$

Question 7

Plot the ordered pairs on the rectangular coordinate system provided
- $\mathrm{A}(0,-4), \mathrm{B}(0,5)$

Question 8

Plot the ordered pairs on the rectangular coordinate system provided
- $\mathrm{A}(4,0), \mathrm{B}(5,0)$

Question 9

List the quadrant(s) in which the given point is located.

- $(4,19)$

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

Question 10

List the quadrant(s) in which the given point is located.

- $(-20,19)$

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

Question 11

List the quadrant(s) in which the given point is located.

- $(-19,-9)$

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

Question 12

List the quadrant(s) in which the given point is located.

- $(10,-5)$

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

Question 13

List the quadrant(s) in which the given point is located.

- $(-18,0)$

A) On an axis
B) IV
C) III
D) II

Question 14

List the quadrant(s) in which the given point is located.

- $\left(\frac{19}{30},-\frac{6}{29}\right)$

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

Question 15

List the quadrant(s) in which the given point is located.

- $(-2.1,-3.8)$

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

Question 16

Find the coordinates of the labeled points.

-

A) $\mathrm{A}(4,24)$ ; $\mathrm{B}(7,-4)$
B) $\mathrm{A}(4,4)$ ; $\mathrm{B}(-4,7)$
C) $\mathrm{A}(4,7)$ ; $\mathrm{B}(4,7)$
D) $\mathrm{A}(4,4)$ ; $\mathrm{B}(7,-4)$

Question 17

Find the coordinates of the labeled points.

-

A) $C(-3,7)$ ; $\mathrm{D}(2,-6)$
B) $C(-3,7)$ ; $\mathrm{D}(-6,2)$
C) $\mathrm{C}(7,10)$ ; $\mathrm{D}(-6,2)$
D) $\mathrm{C}(-3,-6)$ ; $\mathrm{D}(7,-6)$

Question 18

Find the coordinates of the labeled points.

-

A) $\mathrm{E}(5,6)$ ; $\mathrm{G}(-4,-3)$
B) $\mathrm{E}(-5,5)$ ; $\mathrm{G}(-4,-3)$
C) $\mathrm{E}(-5,5)$ ; $\mathrm{G}(-3,-4)$
D) $\mathrm{E}(-5,-4)$ ; $\mathrm{G}(5,-4)$

Question 19

Find the coordinates of the labeled points.

-

A) $\mathrm{G}(7,-4) ; \mathrm{H}(6,-4)$
B) $\mathrm{G}(7,6)$ ; $\mathrm{H}(-3,-4)$
C) $\mathrm{G}(6,30)$ ; $\mathrm{H}(-4,-3)$
D) $\mathrm{G}(7,6)$ ; $\mathrm{H}(-4,-3)$

Question 20

Find the coordinates of the labeled points.

-

A) $\mathrm{A}(-3,0)$ ; $\mathrm{B}(-3,-3)$
B) $\mathrm{A}(-3,0)$ ; $\mathrm{B}(3,-3)$
C) $\mathrm{A}(3,0)$ ; $\mathrm{B}(3,-3)$
D) $\mathrm{A}(-3,3)$ ; $\mathrm{B}(3,-3)$

Question 21

Find the coordinates of the labeled points.

-

A) $\mathrm{A}(6,3)$ ; $\mathrm{B}(0,-4)$
B) $\mathrm{A}(6,3)$ ; $\mathrm{B}(0,4)$
C) $\mathrm{A}(-6,3) ; \mathrm{B}(0,4)$
D) $\mathrm{A}(6,-3)$ ; $\mathrm{B}(1,-4)$

Question 22

Determine whether the given ordered pair is a solution of the equation.

- $x+y=10 ;(6,4)$

Question 23

Determine whether the given ordered pair is a solution of the equation.

- $x+y=10$ ; $(5,3)$

Question 24

Determine whether the given ordered pair is a solution of the equation.

- $x-y=64 ;(8,6)$

Question 25

Determine whether the given ordered pair is a solution of the equation.

- $3 x+y=10$ ; $(2,4)$

Question 26

Determine whether the given ordered pair is a solution of the equation.

- $5 x+4 y=32 ;(4,3)$

Question 27

Determine whether the given ordered pair is a solution of the equation.

- $5 x-4 y=32 ;(4,3)$

Question 28

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary.
-y= x-3 ;(6,3),(3,0)

Question 29

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary.
- $y=x+3 ;(2,5),(-4,-1)$

Question 30

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary.
- $y=\frac{1}{2} x+4 ;(4,6),(-2,3)$

Question 31

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary.
- $y=\frac{1}{2} x-4 ;(4,-2),(-2,-5)$

Question 32

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary.
- $2 x+y=6 ;(3,0),(4,-2)$

Question 33

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary.
- $x+2 y=8$ ; $(4,2),(-4,6)$

Question 34

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary.
- $6 \mathrm{x}-2 \mathrm{y}=8 ;(0,-4),(2,2)$

Question 35

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary.
- $3 \mathrm{x}-3 \mathrm{y}=12 ;(-1,-5),(1,-3)$

Question 36

Graph the linear equation.

- $y=2 x+3$

A)
B)
C)
D)

Question 37

Graph the linear equation.

- $y=\frac{2}{5} x-4$

A)
B)
C)
D)

Question 38

Graph the linear equation.

- $-x+7 y=-4$

A)
B)
C)
D)

Question 39

Graph the linear equation.

- $x+5 y=-8$

A)

B)

C)

D)

Question 40

Graph the linear equation.

- $3 y+27 x=-21$

A)

B)

C)

D)

Question 41

Graph the linear equation.

- $-9 x-y=1$

A)

B)

C)

D)

Question 42

Graph the linear equation.

- $y=\frac{1}{5} x+\frac{8}{5}$

A)

B)

C)

D)

Question 43

Graph the linear equation.

- $y=8 x$

A)

B)

C)

D)

Question 44

Graph the linear equation.

-5x-y=0

A)
B)
C)
D)

Question 45

Graph the linear equation.

- $-7 x+y=0$

A)

B)

C)

D)

Question 46

Find the coordinates of the $y$ -intercept for the given equation.

- $y=x+12$

A) $(0,1)$
B) $(12,0)$
C) $(0,12)$
D) $(12,12)$

Question 47

Find the coordinates of the $y$ -intercept for the given equation.

- $y=x-12$

A) $(0,12)$
B) $(-12,0)$
C) $(0,1)$
D) $(0,-12)$

Question 48

Find the coordinates of the $y$ -intercept for the given equation.

- $y=\frac{2}{5} x$

A) $\left(1, \frac{2}{5}\right)$
B) $(0,0)$
C) $\left(0, \frac{2}{5}\right)$
D) $\left(\frac{2}{5}, 0\right)$

Question 49

Find the coordinates of the $y$ -intercept for the given equation.

- $y=\frac{1}{8} x+2$

A) $\left(\frac{1}{8}, 2\right)$
B) $(0,2)$
C) $\left(0, \frac{1}{8}\right)$
D) $(2,0)$

Question 50

Find the coordinates of the $y$ -intercept for the given equation.

- $y=3 x-5$

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

Question 51

Find the coordinates of the $y$ -intercept for the given equation.

- $x+y=4$

A) $(0,-1)$
B) $(-4,0)$
C) $(0,4)$
D) $(0,-4)$

Question 52

Find the coordinates of the $y$ -intercept for the given equation.

- $x+2 y=5$

A) $(10,0)$
B) $(0,10)$
C) $\left(0, \frac{5}{2}\right)$
D) $(2,10)$

Question 53

Find the coordinates of the $y$ -intercept for the given equation.

- $5 x-5 y=30$

A) $(5,5)$
B) $(0,-6)$
C) $(0,30)$
D) $(0,6)$

Question 54

Find the coordinates of the $y$ -intercept for the given equation.

- $6 y+4 x=-1$

A) $(-1,0)$
B) $(0,-1)$
C) $\left(0,-\frac{1}{6}\right)$
D) $\left(-\frac{1}{6}, 0\right)$

Question 55

Find the coordinates of the $y$ -intercept for the given equation.

- $y=\frac{1}{5} x-8$

A) $(-8,0)$
B) $\left(0, \frac{1}{5}\right)$
C) $(0,-8)$
D) $(8,0)$

Question 56

Solve the problem.

-The value $V$ , in dollars, of a shopkeeper's inventory software program is given by $V=-20 t+350$ , where $t$ is the number of years since the shopkeeper first bought the program. Find the value of the software after 0 years, 6 years, and 10 years.

A) $\$ 350, \$ 230$ , and $\$ 150$
B) $\$ 350, \$ 230$ , and $\$ 210$
C) $\$ 330, \$ 230$ , and $\$ 150$
D) $\$ 350, \$ 470$ , and $\$ 150$

Question 57

Solve the problem.

-The value $V$ , in dollars, of a shopkeeper's inventory software program is given by $V=-30 t+600$ , where $t$ is the number of years since the shopkeeper first bought the program. Graph the equation and then use the graph to estimate the value of the software after 9 years.

A) $\$ 320$

B) $\$ 600$

C) $\$ 330$

D) $\$ 340$

Question 58

Solve the problem.

-The value $V$ , in dollars, of a shopkeeper's inventory software program is given by $V=-20 t+200$ , where $t$ is the number of years since the shopkeeper first bought the program. After how many years is the value of the software $\$ 120$ ?

A) 3 yr
B) $4 \mathrm{yr}$
C) $5 \mathrm{yr}$
D) $6 \mathrm{yr}$

Question 59

Find the coordinates of the $y$ -intercept and the coordinates of the $x$ -intercept.

-

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

Question 60

Find the coordinates of the $y$ -intercept and the coordinates of the $x$ -intercept.

-

A) $(0,-7),(-4,0)$
B) $(-7,-4),(0,0)$
C) $(0,0),(-4,-7)$
D) $(0,-4),(-7,0)$

Question 61

Find the coordinates of the $y$ -intercept and the coordinates of the $x$ -intercept.

-

A) $(0,-3),(2,0)$
B) $(0,2),(-3,0)$
C) $(2,-3),(0,0)$
D) $(0,0),(-3,2)$

Question 62

Find the coordinates of the $y$ -intercept and the $x$ -intercept, in that order.

- $x+y=-5$

A) $(-2,0)(-3,0)$
B) $(0,-2)(0,-3)$
C) $(-5,-3)(-2,-5)$
D) $(-5,0)(0,-5)$

Question 63

Find the coordinates of the $y$ -intercept and the $x$ -intercept, in that order.

- $2 x+y=4$

A) $(0,5)(0,-6)$
B) $(2,0)(0,4)$
C) $(4,-6)(5,4)$
D) $(5,0)(-6,0)$

Question 64

Find the coordinates of the $y$ -intercept and the $x$ -intercept, in that order.

- $2 x+y=-6$

A) $(-6,2)(-4,-6)$
B) $(0,-4)(0,2)$
C) $(-4,0)(2,0)$
D) $(-3,0)(0,-6)$

Question 65

Find the coordinates of the $y$ -intercept and the $x$ -intercept, in that order.

- $-2 x+y=2$

A) $(-4,0)(-6,0)$
B) $(0,-4)(0,-6)$
C) $(-1,0)(0,2)$
D) $(2,-6)(-4,2)$

Question 66

Find the coordinates of the $y$ -intercept and the $x$ -intercept, in that order.

- $-2 x+4 y=8$

A) $(-4,-8)(-8,8)$
B) $(-8,0)(-8,0)$
C) $(0,-8)(0,-8)$
D) $(-4,0)(0,2)$

Question 67

Find the coordinates of the $y$ -intercept and the $x$ -intercept, in that order.

- $-2 x-4 y=8$

A) $(0,-7)(0,-6)$
B) $(-7,0)(-6,0)$
C) $(-4,-6)(-7,8)$
D) $(0,-2)(-4,0)$

Question 68

Find the coordinates of the $y$ -intercept and the $x$ -intercept, in that order.

- $2 x-7 y=9$

A) $\left(-\frac{9}{7}, 0\right),\left(0, \frac{9}{2}\right)$
B) $\left(\frac{9}{2}, 0\right),\left(0,-\frac{9}{7}\right)$
C) $\left(\frac{9}{2}, 0\right),\left(0, \frac{9}{7}\right)$
D) $(7,0),(0,16)$

Question 69

Find the coordinates of the $y$ -intercept and the $x$ -intercept, in that order.

- $3 \mathrm{y}-11=5 \mathrm{x}$

A) $\left(-\frac{11}{5}, 0\right),\left(0, \frac{11}{3}\right)$

B) $\left(\frac{11}{5}, 0\right),\left(0,-\frac{11}{3}\right)$

C) $\left(\frac{11}{3}, 0\right),\left(0,-\frac{11}{5}\right)$

D) $(-16,0),(0,8)$

Question 70

Find the $x$ - and $y$ -intercepts for the equation. Then graph the equation.

- $x+5 y=5$

A) $(1,0),(0,5)$

B) $(5,0),(0,1)$

Question 71

Find the $x$ - and $y$ -intercepts for the equation. Then graph the equation.

-2x-5=y

A) (-5,0), $\left(0,\frac{5}{2}\right)$

B) $\left(\frac{5}{2}, 0\right),(0,-5)$

Question 72

Find the $x$ - and $y$ -intercepts for the equation. Then graph the equation.

- $12 \mathrm{y}-3 \mathrm{x}=-6$

A) $\left(0,-\frac{1}{2}\right),(-2,0)$

B) $\left(0,-\frac{1}{2}\right),(2,0)$

Question 73

Find the $x$ - and $y$ -intercepts for the equation. Then graph the equation.

- $-6 x-12 y=36$

A) $(0,-3),(-6,0)$

B) $(0,-3),(6,0)$

Question 74

Find the $x$ - and $y$ -intercepts for the equation. Then graph the equation.

- $4 \mathrm{x}-8 \mathrm{y}=8$

A) $(0,-1),(2,0)$

B) $(0,-1),(-2,0)$

Question 75

Find the $x$ - and $y$ -intercepts for the equation. Then graph the equation.

- $3 x-18 y=0$

A) $(0,0),(0,0)$

B) $(0,0),(0,0)$

Question 76

Graph.

- $y=2$

A)

B)

C)

D)

Question 77

Graph.

- $x=3$

A)

B)

C)

D)

Question 78

Graph.

- $y=-\frac{8}{3}$

A)
B)
C)
D)

Question 79

Graph.

- $x=\frac{7}{4}$

A)

B)

C)

D)

Question 80

Graph.

- $2 y=-5$

A)

B)

C)

D)