Exam 9: Graphs of Linear Equations

Solve the problem. -Data regarding the amount spent by a government department is represented in the following graph. Find the rate of change of the amount spent with respect to time, in billions per year.

(Multiple Choice)

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Question 141

Draw a line that has the given slope and y-intercept. -Slope $-\frac{1}{2} ; y$ -intercept $(0,2)$ $Draw a line that has the given slope and y-intercept. -Slope -\frac{1}{2} ; y -intercept (0,2)$

(Multiple Choice)

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Question 142

Find the coordinates of the $y$ -intercept and the $x$ -intercept, in that order. - $3 x+y=-9$

(Multiple Choice)

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Question 143

Find the slope of the line. -

(Multiple Choice)

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Question 144

Find an equation of the line with the given slope and $y$ -intercept. -Slope $=-9, y$ -intercept $=(0,-3)$

(Multiple Choice)

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Question 145

Graph. - $-3 x=-5$

(Multiple Choice)

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Question 146

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

(Multiple Choice)

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Question 147

Solve the problem. - Let $x=28$ and $y=7$ . Find the pitch of the roof.

(Multiple Choice)

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Question 148

Solve the problem. -Find the rate of change. Use appropriate units.

(Multiple Choice)

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Question 149

Graph the linear equation. - $-x+7 y=-8$

(Multiple Choice)

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Question 150

List the quadrant(s) in which the given point is located. - $(10,17)$

(Multiple Choice)

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Question 151

Find the coordinates of the $y$ -intercept for the given equation. - $2 x-5 y=-10$

(Multiple Choice)

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Question 152

Graph the linear inequality. -3x + y $\le$ -6 $Graph the linear inequality. -3x + y \le -6$

(Multiple Choice)

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Question 153

Find the slope of the line. - $4 x-5 y=-35$

(Multiple Choice)

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Question 154

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 $\$ 310$ ?

(Multiple Choice)

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Question 155

Find an equation of the line with the given slope and $y$ -intercept. -Slope $=4, y$ -intercept $=\left(0,-\frac{4}{5}\right)$

(Multiple Choice)

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Question 156

Find an equation of the line that contains the given pair of points. Write the equation in the form $y=m x+b$ . - $(-5,0)$ and $(8,5)$

(Multiple Choice)

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Question 157

Solve the problem. -Let $y=-17 x+174$ represent the number of students present in a large class, where $x$ represents the number of hours of study required weekly. What is the rate of change of the number of students in the class with respect to the number of hours of study?

(Multiple Choice)

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Question 158

Choose the ordered pair which is a solution of the inequality. - $x+y \geq 0$ $(0,-1),(1,-1),(-2,1),(-1,0)$

(Multiple Choice)

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Question 159

List the quadrant(s) in which the given point is located. - $(-15,-3)$

(Multiple Choice)

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Question 160

Solve the problem. -Data regarding the amount spent by a government department is represented in the following graph. Find the rate of change of the amount spent with respect to time, in billions per year.

Draw a line that has the given slope and y-intercept. -Slope $-\frac{1}{2} ; y$ -intercept $(0,2)$ $Draw a line that has the given slope and y-intercept. -Slope -\frac{1}{2} ; y -intercept (0,2)$

Find the coordinates of the $y$ -intercept and the $x$ -intercept, in that order. - $3 x+y=-9$

Find the slope of the line. -

Find an equation of the line with the given slope and $y$ -intercept. -Slope $=-9, y$ -intercept $=(0,-3)$

Graph. - $-3 x=-5$

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

Solve the problem. - Let $x=28$ and $y=7$ . Find the pitch of the roof.

Solve the problem. -Find the rate of change. Use appropriate units.

Graph the linear equation. - $-x+7 y=-8$

List the quadrant(s) in which the given point is located. - $(10,17)$

Find the coordinates of the $y$ -intercept for the given equation. - $2 x-5 y=-10$

Graph the linear inequality. -3x + y $\le$ -6 $Graph the linear inequality. -3x + y \le -6$

Find the slope of the line. - $4 x-5 y=-35$

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 $\$ 310$ ?

Find an equation of the line with the given slope and $y$ -intercept. -Slope $=4, y$ -intercept $=\left(0,-\frac{4}{5}\right)$

Find an equation of the line that contains the given pair of points. Write the equation in the form $y=m x+b$ . - $(-5,0)$ and $(8,5)$

Solve the problem. -Let $y=-17 x+174$ represent the number of students present in a large class, where $x$ represents the number of hours of study required weekly. What is the rate of change of the number of students in the class with respect to the number of hours of study?

Choose the ordered pair which is a solution of the inequality. - $x+y \geq 0$ $(0,-1),(1,-1),(-2,1),(-1,0)$

List the quadrant(s) in which the given point is located. - $(-15,-3)$

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

Exam 9: Graphs of Linear Equations

Solve the problem. -Data regarding the amount spent by a government department is represented in the following graph. Find the rate of change of the amount spent with respect to time, in billions per year.

Draw a line that has the given slope and y-intercept. -Slope −12;y-\frac{1}{2} ; y−21​;y -intercept (0,2)(0,2)(0,2)

Find the coordinates of the yyy -intercept and the xxx -intercept, in that order. - 3x+y=−93 x+y=-93x+y=−9

Find the slope of the line. -

Find an equation of the line with the given slope and yyy -intercept. -Slope =−9,y=-9, y=−9,y -intercept =(0,−3)=(0,-3)=(0,−3)

Graph. - −3x=−5-3 x=-5−3x=−5

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

Solve the problem. - Let x=28x=28x=28 and y=7y=7y=7 . Find the pitch of the roof.

Solve the problem. -Find the rate of change. Use appropriate units.

Graph the linear equation. - −x+7y=−8-x+7 y=-8−x+7y=−8

List the quadrant(s) in which the given point is located. - (10,17)(10,17)(10,17)

Find the coordinates of the yyy -intercept for the given equation. - 2x−5y=−102 x-5 y=-102x−5y=−10

Graph the linear inequality. -3x + y ≤\le≤ -6

Find the slope of the line. - 4x−5y=−354 x-5 y=-354x−5y=−35

Solve the problem. -The value VVV , in dollars, of a shopkeeper's inventory software program is given by V=−20t+350V=-20 t+350V=−20t+350 , where ttt is the number of years since the shopkeeper first bought the program. After how many years is the value of the software $310\$ 310$310 ?

Find an equation of the line with the given slope and yyy -intercept. -Slope =4,y=4, y=4,y -intercept =(0,−45)=\left(0,-\frac{4}{5}\right)=(0,−54​)

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 . - (−5,0)(-5,0)(−5,0) and (8,5)(8,5)(8,5)

Solve the problem. -Let y=−17x+174y=-17 x+174y=−17x+174 represent the number of students present in a large class, where xxx represents the number of hours of study required weekly. What is the rate of change of the number of students in the class with respect to the number of hours of study?

Choose the ordered pair which is a solution of the inequality. - x+y≥0x+y \geq 0x+y≥0 (0,−1),(1,−1),(−2,1),(−1,0)(0,-1),(1,-1),(-2,1),(-1,0)(0,−1),(1,−1),(−2,1),(−1,0)

List the quadrant(s) in which the given point is located. - (−15,−3)(-15,-3)(−15,−3)

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

Draw a line that has the given slope and y-intercept. -Slope $-\frac{1}{2} ; y$ -intercept $(0,2)$ $Draw a line that has the given slope and y-intercept. -Slope -\frac{1}{2} ; y -intercept (0,2)$

Find the coordinates of the $y$ -intercept and the $x$ -intercept, in that order. - $3 x+y=-9$

Find an equation of the line with the given slope and $y$ -intercept. -Slope $=-9, y$ -intercept $=(0,-3)$

Graph. - $-3 x=-5$

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

Solve the problem. - Let $x=28$ and $y=7$ . Find the pitch of the roof.

Graph the linear equation. - $-x+7 y=-8$

List the quadrant(s) in which the given point is located. - $(10,17)$

Find the coordinates of the $y$ -intercept for the given equation. - $2 x-5 y=-10$

Graph the linear inequality. -3x + y $\le$ -6 $Graph the linear inequality. -3x + y \le -6$

Find the slope of the line. - $4 x-5 y=-35$

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 $\$ 310$ ?

Find an equation of the line with the given slope and $y$ -intercept. -Slope $=4, y$ -intercept $=\left(0,-\frac{4}{5}\right)$

Find an equation of the line that contains the given pair of points. Write the equation in the form $y=m x+b$ . - $(-5,0)$ and $(8,5)$

Solve the problem. -Let $y=-17 x+174$ represent the number of students present in a large class, where $x$ represents the number of hours of study required weekly. What is the rate of change of the number of students in the class with respect to the number of hours of study?

Choose the ordered pair which is a solution of the inequality. - $x+y \geq 0$ $(0,-1),(1,-1),(-2,1),(-1,0)$

List the quadrant(s) in which the given point is located. - $(-15,-3)$