Deck 9: Graphs of Linear Equations

Question 1

Plot the ordered pairs on the rectangular coordinate system provided.

- $\mathrm{A}(5,6), \mathrm{B}(-4,4)$

Answer 1

Question 2

Plot the ordered pairs on the rectangular coordinate system provided.

- $\mathrm{A}(4,-1), \mathrm{B}(-1,5)$

Answer 2

Question 3

Plot the ordered pairs on the rectangular coordinate system provided.

- $\mathrm{A}(-3,-6), \mathrm{B}(-5,3)$

Answer 3

Question 4

Plot the ordered pairs on the rectangular coordinate system provided.

- $\mathrm{A}(4,5), \mathrm{B}(6,-3)$

Question 5

Plot the ordered pairs on the rectangular coordinate system provided.

- $\mathrm{A}(4,5), \mathrm{B}(-5,-3)$

Question 6

Plot the ordered pairs on the rectangular coordinate system provided.

- $\mathrm{A}\left(-\frac{2}{3},-4\right), \mathrm{B}(-5,6)$

Question 7

Plot the ordered pairs on the rectangular coordinate system provided.

- $\mathrm{A}(0,-3), \mathrm{B}(0,1)$

Question 8

Plot the ordered pairs on the rectangular coordinate system provided.

- $\mathrm{A}(-1,0), \mathrm{B}(5,0)$

Question 9

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

- $(10,17)$

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

Question 10

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

- $(-6,20)$

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

Question 11

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

- $(-15,-3)$

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

Question 12

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

- $(6,-11)$

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

Question 13

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

- $(-6,0)$

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

Question 14

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

- $\left(\frac{9}{14},-\frac{17}{22}\right)$

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

Question 15

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

- $(-5.4,-2.4)$

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

Question 16

Find the coordinates of the labeled points.

-

A) $\mathrm{A}(2,7) ; \mathrm{B}(6,7)$
B) $\mathrm{A}(2,6)$ ; $\mathrm{B}(7,-7)$
C) $\mathrm{A}(2,6) ; \mathrm{B}(-7,7)$
D) $\mathrm{A}(6,20)$ ; $\mathrm{B}(7,-7)$

Question 17

Find the coordinates of the labeled points.

-

A) $\mathrm{C}(-5,3)$ ; $\mathrm{D}(2,-5)$
B) $\mathrm{C}(-5,-5)$ ; $\mathrm{D}(3,-5)$
C) $C(3,6)$ ; $D(-5,2)$
D) $\mathrm{C}(-5,3)$ ; $\mathrm{D}(-5,2)$

Question 18

Find the coordinates of the labeled points.

-

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

Question 19

Find the coordinates of the labeled points.

-

A) $\mathrm{G}(3,5)$ ; $\mathrm{H}(7,5)$
B) $\mathrm{G}(3,7) ; \mathrm{H}(5,-7)$
C) $\mathrm{G}(7,22)$ ; $\mathrm{H}(5,-7)$
D) $\mathrm{G}(3,7) ; \mathrm{H}(-7,5)$

Question 20

Find the coordinates of the labeled points.

-

A) $\mathrm{A}(-1,0)$ ; $\mathrm{B}(4,-5)$
B) $\mathrm{A}(-1,0)$ ; $\mathrm{B}(-4,-5)$
C) $\mathrm{A}(-1,1)$ ; $\mathrm{B}(4,-5)$
D) $\mathrm{A}(1,0)$ ; $\mathrm{B}(4,-5)$

Question 21

Find the coordinates of the labeled points.

-

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

Question 22

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

- $\mathrm{x}+\mathrm{y}=15 ;(7,8)$

Question 23

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

- $\mathrm{x}+\mathrm{y}=10 ;(5,4)$

Question 24

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

- $\mathrm{x}-\mathrm{y}=16 ;(4,8)$

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.

- $2 x+5 y=24 ;(2,4)$

Question 27

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

- $2 x-2 y=18 ;(4,5)$

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.

- $y=x-5 ;(6,1),(1,-4)$

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.

- $y=x+2 ;(0,2),(-1,1)$

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.

- $y=\frac{1}{2} x+5 ;(4,7),(-4,3)$

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.

- $y=\frac{1}{2} x-3 ;(6,0),(0,-3)$

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.

- $2 x+y=8 ;(3,2),(6,-4)$

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.

- $x+2 y=8 ;(2,3),(-6,7)$

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.

- $6 x-2 y=6 ;(1,0),(3,6)$

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.

- $3 x-3 y=9 ;(-1,-4),(3,0)$

Question 36

Graph the linear equation.

- $y=3 x+2$

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.

- $-x+7 y=-8$

A)
B)
C)
D)

Question 39

Graph the linear equation.

- $x+5 y=4$

A)
B)
C)
D)

Question 40

Graph the linear equation.

- $4 y-8 x=-32$

A)
B)
C)
D)

Question 41

Graph the linear equation.

- $-7 x-y=-2$

A)
B)
C)
D)

Question 42

Graph the linear equation.

- $y=\frac{1}{4} x+\frac{1}{2}$

A)
B)
C)
D)

Question 43

Graph the linear equation.

- $y=5 x$

A)
B)
C)
D)

Question 44

Graph the linear equation.

- $-9 x-y=0$

A)
B)
C)
D)

Question 45

Graph the linear equation.

- $-8 x+y=0$

A)
B)
C)
D)

Question 46

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

- $y=x+13$

A) $(0,1)$
B) $(13,0)$
C) $(0,13)$
D) $(13,13)$

Question 47

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

- $y=x-7$

A) $(0,1)$
B) $(0,7)$
C) $(-7,0)$
D) $(0,-7)$

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

Question 49

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

- $y=5 x+8$

A) $(5,8)$
B) $(0,8)$
C) $(0,5)$
D) $(8,0)$

Question 50

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

- $y=9 x-7$

A) $(0,7)$
B) $(0,-7)$
C) $(-7,0)$
D) $(9,-7)$

Question 51

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

- $x+y=8$

A) $(0,8)$
B) $(0,-8)$
C) $(-8,0)$
D) $(0,-1)$

Question 52

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

- $x+5 y=2$

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

Question 53

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

- $2 x-5 y=-10$

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

Question 54

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

- $2 y+2 x=-1$

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

Question 55

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

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

A) $(5,0)$
B) $(-5,0)$
C) $\left(0, \frac{4}{5}\right)$
D) $(0,-5)$

Question 56

Solve the problem.

-The value $\mathrm{V}$ , in dollars, of a shopkeeper's inventory software program is given by $\mathrm{V}=-20 \mathrm{t}+350$ , where $t$ is the number of years since the shopkeeper first bought the program. Find the value of the software after 0 years, 4 years, and 10 years.

A) $\$ 350, \$ 270$ , and $\$ 150$
B) $\$ 350, \$ 270$ , and $\$ 210$
C) $\$ 350, \$ 430$ , and $\$ 150$
D) $\$ 330, \$ 270$ , and $\$ 150$

Question 57

Solve the problem.

-The value $V$ , in dollars, of a shopkeeper's inventory software program is given by $V=-10 t+550$ , 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 5 years.

A) $\$ 550$

B) $\$ 510$

C) $\$ 500$

D) $\$ 490$

Question 58

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. After how many years is the value of the software $\$ 310$ ?

A) $4 \mathrm{yr}$
B) 3 yr
C) $2 \mathrm{yr}$
D) $1 \mathrm{yr}$

Question 59

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

-

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

Question 60

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

-

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

Question 61

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

-

A) $(0,0),(3,7)$
B) $(0,7),(3,0)$
C) $(0,3),(7,0)$
D) $(7,3),(0,0)$

Question 62

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

- $x+y=-4$

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

Question 63

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

- $2 x+y=10$

A) $(0,8)(0,-6)$
B) $(5,0)(0,10)$
C) $(8,0)(-6,0)$
D) $(10,-6)(8,10)$

Question 64

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

- $3 x+y=-9$

A) $(-4,0)(3,0)$
B) $(-9,3)(-4,-9)$
C) $(-3,0)(0,-9)$
D) $(0,-4)(0,3)$

Question 65

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

- $-2 x+y=2$

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

Question 66

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

- $-3 x+3 y=-3$

A) $(0,-2)(0,-9)$
B) $(1,-9)(-2,-3)$
C) $(1,0)(0,-1)$
D) $(-2,0)(-9,0)$

Question 67

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

- $-2 x-2 y=6$

A) $(-1,0)(4,0)$
B) $(0,-1)(0,4)$
C) $(-3,4)(-1,6)$
D) $(0,-3)(-3,0)$

Question 68

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

- $3 x-4 y=7$

A) $(4,0),(0,11)$
B) $\left(\frac{7}{3}, 0\right),\left(0, \frac{7}{4}\right)$
C) $\left(-\frac{7}{4}, 0\right),\left(0, \frac{7}{3}\right)$
D) $\left(\frac{7}{3}, 0\right),\left(0,-\frac{7}{4}\right)$

Question 69

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

- $7 y-11=3 x$

A) $\left(\frac{11}{3}, 0\right),\left(0,-\frac{11}{7}\right)$
B) $\left(\frac{11}{7}, 0\right),\left(0,-\frac{11}{3}\right)$
C) $(-14,0),(0,4)$
D) $\left(-\frac{11}{3}, 0\right),\left(0, \frac{11}{7}\right)$

Question 70

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

- $x+4 y=4$

A) $(4,0),(0,1)$

B) $(1,0),(0,4)$

Question 71

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

- $3 x-8=y$

A) $(-8,0),\left(0, \frac{8}{3}\right)$

B) $\left(\frac{8}{3}, 0\right),(0,-8)$

Question 72

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

- $16 y-4 x=-8$

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.

- $-5 x-25 y=25$

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

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

Question 74

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

- $2 x-6 y=6$

A) $(0,-1),(-3,0)$

B) $(0,-1),(3,0)$

Question 75

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

- $2 x-6 y=0$

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

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

Question 76

Graph.

- $y=3$

A)
B)
C)
D)

Question 77

Graph.

- $x=-2$

A)
B)
C)
D)

Question 78

Graph.

- $y=\frac{3}{2}$

A)
B)
C)
D)

Question 79

Graph.

- $x=\frac{2}{3}$

A)
B)
C)
D)

Question 80

Graph.

- $2 y=7$

A)
B)
C)
D)