Exam 9: Graphs of Linear Equations

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

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Question 1

Correct Answer:

Verified

Show that $(0,2)$ is a solution:
$\mathrm{y}=\mathrm{x}+2$
$2=? 0+2$
$2=? 2$ TRUE
Show that $(-1,1)$ is a solution:
$\mathrm{y}=\mathrm{x}+2$
$1=?-1+2$
$1=? 1$ TRUE
Coordinates of the additional solution may vary but should satisfy $\mathrm{y}=\mathrm{x}+2$ .

Find the coordinates of the $y$ -intercept and the $x$ -intercept, in that order. - $2 x+y=10$

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Question 2

Correct Answer:

Verified

B

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

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Question 3

Correct Answer:

Verified

C

Find an equation of the line with the given slope and $y$ -intercept. -Slope $=0, y$ -intercept $=(0,2)$

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Question 4

Graph using the slope and the y-intercept. - $y=\frac{1}{2} x-3$ $Graph using the slope and the y-intercept. - y=\frac{1}{2} x-3$

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Question 5

Find an equation of the line that contains the given pair of points. Write the equation in the form $y=m x+b$ . - $(-9,-2)$ and $(0,-4)$

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Question 6

Plot the ordered pairs on the rectangular coordinate system provided. - $\mathrm{A}(0,-3), \mathrm{B}(0,1)$ $Plot the ordered pairs on the rectangular coordinate system provided. - \mathrm{A}(0,-3), \mathrm{B}(0,1)$

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Question 7

Draw a line that has the given slope and y-intercept. -Slope - 2; y-intercept $(0,6)$

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Question 8

Find the coordinates of the labeled points. -

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Question 9

Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form. - $(8,-3), \mathrm{m}=-4$

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Question 10

Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form. - $(2,3), \mathrm{m}=-\frac{3}{4}$

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Question 11

Find the coordinates of the $y$ -intercept and the $x$ -intercept, in that order. - $3 x-4 y=7$

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Question 12

Find the coordinates of the $y$ -intercept and the $x$ -intercept, in that order. - $-3 x+3 y=-3$

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Question 13

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

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Question 14

Solve the problem. -Find the rate of change. Use appropriate units. Number of Hours Spent Traveling

(Multiple Choice)

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Question 15

Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form. - $(3,2), m=-\frac{3}{7}$

(Multiple Choice)

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Question 16

Graph. - $-4 x+21=0$

(Multiple Choice)

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Question 17

Find an equation of the line with the given slope and $y$ -intercept. -Slope $=-3, y$ -intercept $=(0,-28)$

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Question 18

Find the coordinates of the $y$ -intercept for the given equation. - $y=\frac{4}{5} x-5$

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Question 19

Graph the linear inequality. -x - y > -5

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Question 20

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

Find the coordinates of the $y$ -intercept and the $x$ -intercept, in that order. - $2 x+y=10$

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

Find an equation of the line with the given slope and $y$ -intercept. -Slope $=0, y$ -intercept $=(0,2)$

Graph using the slope and the y-intercept. - $y=\frac{1}{2} x-3$ $Graph using the slope and the y-intercept. - y=\frac{1}{2} x-3$

Find an equation of the line that contains the given pair of points. Write the equation in the form $y=m x+b$ . - $(-9,-2)$ and $(0,-4)$

Plot the ordered pairs on the rectangular coordinate system provided. - $\mathrm{A}(0,-3), \mathrm{B}(0,1)$ $Plot the ordered pairs on the rectangular coordinate system provided. - \mathrm{A}(0,-3), \mathrm{B}(0,1)$

Draw a line that has the given slope and y-intercept. -Slope - 2; y-intercept $(0,6)$

Find the coordinates of the labeled points. -

Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form. - $(8,-3), \mathrm{m}=-4$

Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form. - $(2,3), \mathrm{m}=-\frac{3}{4}$

Find the coordinates of the $y$ -intercept and the $x$ -intercept, in that order. - $3 x-4 y=7$

Find the coordinates of the $y$ -intercept and the $x$ -intercept, in that order. - $-3 x+3 y=-3$

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

Solve the problem. -Find the rate of change. Use appropriate units. Number of Hours Spent Traveling

Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form. - $(3,2), m=-\frac{3}{7}$

Graph. - $-4 x+21=0$

Find an equation of the line with the given slope and $y$ -intercept. -Slope $=-3, y$ -intercept $=(0,-28)$

Find the coordinates of the $y$ -intercept for the given equation. - $y=\frac{4}{5} x-5$

Graph the linear inequality. -x - y > -5

Whole Numbers

Fraction Notation

Decimal Notation

Percent Notation

Data, Graphs, and Statistics

Geometry

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Systems of Equations

Radical Expressions and Equations

Quadratic Equations

Converting Units of Measurement

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Exam 9: Graphs of Linear Equations

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

Find the coordinates of the yyy -intercept and the xxx -intercept, in that order. - 2x+y=102 x+y=102x+y=10

Graph. - y=32y=\frac{3}{2}y=23​

Find an equation of the line with the given slope and yyy -intercept. -Slope =0,y=0, y=0,y -intercept =(0,2)=(0,2)=(0,2)

Graph using the slope and the y-intercept. - y=12x−3y=\frac{1}{2} x-3y=21​x−3

Find an equation of the line that contains the given pair of points. Write the equation in the form y=mx+by=m x+by=mx+b . - (−9,−2)(-9,-2)(−9,−2) and (0,−4)(0,-4)(0,−4)

Plot the ordered pairs on the rectangular coordinate system provided. - A(0,−3),B(0,1)\mathrm{A}(0,-3), \mathrm{B}(0,1)A(0,−3),B(0,1)

Draw a line that has the given slope and y-intercept. -Slope - 2; y-intercept (0,6)(0,6)(0,6)

Find the coordinates of the labeled points. -

Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form. - (8,−3),m=−4(8,-3), \mathrm{m}=-4(8,−3),m=−4

Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form. - (2,3),m=−34(2,3), \mathrm{m}=-\frac{3}{4}(2,3),m=−43​

Find the coordinates of the yyy -intercept and the xxx -intercept, in that order. - 3x−4y=73 x-4 y=73x−4y=7

Find the coordinates of the yyy -intercept and the xxx -intercept, in that order. - −3x+3y=−3-3 x+3 y=-3−3x+3y=−3

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

Solve the problem. -Find the rate of change. Use appropriate units. Number of Hours Spent Traveling

Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form. - (3,2),m=−37(3,2), m=-\frac{3}{7}(3,2),m=−73​

Graph. - −4x+21=0-4 x+21=0−4x+21=0

Find an equation of the line with the given slope and yyy -intercept. -Slope =−3,y=-3, y=−3,y -intercept =(0,−28)=(0,-28)=(0,−28)

Find the coordinates of the yyy -intercept for the given equation. - y=45x−5y=\frac{4}{5} x-5y=54​x−5

Graph the linear inequality. -x - y > -5

Whole Numbers

Fraction Notation

Decimal Notation

Percent Notation

Data, Graphs, and Statistics

Geometry

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Systems of Equations

Radical Expressions and Equations

Quadratic Equations

Converting Units of Measurement

Filters

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

Find the coordinates of the $y$ -intercept and the $x$ -intercept, in that order. - $2 x+y=10$

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

Find an equation of the line with the given slope and $y$ -intercept. -Slope $=0, y$ -intercept $=(0,2)$

Graph using the slope and the y-intercept. - $y=\frac{1}{2} x-3$ $Graph using the slope and the y-intercept. - y=\frac{1}{2} x-3$

Find an equation of the line that contains the given pair of points. Write the equation in the form $y=m x+b$ . - $(-9,-2)$ and $(0,-4)$

Plot the ordered pairs on the rectangular coordinate system provided. - $\mathrm{A}(0,-3), \mathrm{B}(0,1)$ $Plot the ordered pairs on the rectangular coordinate system provided. - \mathrm{A}(0,-3), \mathrm{B}(0,1)$

Draw a line that has the given slope and y-intercept. -Slope - 2; y-intercept $(0,6)$

Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form. - $(8,-3), \mathrm{m}=-4$

Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form. - $(2,3), \mathrm{m}=-\frac{3}{4}$

Find the coordinates of the $y$ -intercept and the $x$ -intercept, in that order. - $3 x-4 y=7$

Find the coordinates of the $y$ -intercept and the $x$ -intercept, in that order. - $-3 x+3 y=-3$

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

Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form. - $(3,2), m=-\frac{3}{7}$

Graph. - $-4 x+21=0$

Find an equation of the line with the given slope and $y$ -intercept. -Slope $=-3, y$ -intercept $=(0,-28)$

Find the coordinates of the $y$ -intercept for the given equation. - $y=\frac{4}{5} x-5$