Question 1

Provide an appropriate response.
-Explain how you would find the x intercept of a line with an equation of the form
Ax + By = C.

Accepted Answer

Let y = 0

Question 2

Write an equation for the graph.
-

Accepted Answer

A) x = 3 
B) y = x + 6 
C) y = 3 
D) y = x + 3 
A) x = 3 
B) y = x + 6 
C) y = 3 
D) y = x + 3

Question 3

Find the slope of the line going through the pair of points.
-$$\left( \frac { 1 } { 6 } , - 5 \right) , \left( \frac { 1 } { 3 } , - 2 \right)$$

Accepted Answer

A)  18 
B)  $\frac { 1 } { 2 }$ 
C)  $- 18$ 
D)  $\frac { 1 } { 18 }$ 
A)  18 
B)  $\frac { 1 } { 2 }$ 
C)  $- 18$ 
D)  $\frac { 1 } { 18 }$

Question 4

Find the x- and y-intercepts for the equation. Then graph the equation.
--4x - 8y = 24

Accepted Answer

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

Question 5

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.

Accepted Answer

A)  Increase of $\$ 0.28$ billion per year 
B)  Decrease of $\$ 0.28$ billion per year 
C)  Decrease of $\$ 0.38$ billion per year 
D)  Increase of $\$ 0.18$ billion per year 
A)  Increase of $\$ 0.28$ billion per year 
B)  Decrease of $\$ 0.28$ billion per year 
C)  Decrease of $\$ 0.38$ billion per year 
D)  Increase of $\$ 0.18$ billion per year

Question 6

Find the coordinates of the y-intercept and the coordinates of the x-intercept.
-2x + y = -6

Accepted Answer

A) (0, -6)(0, 6) 
B) (-6, 0)(6, 0) 
C) (-6, 6)(-6, -6) 
D) (-3, 0)(0, -6) 
A) (0, -6)(0, 6) 
B) (-6, 0)(6, 0) 
C) (-6, 6)(-6, -6) 
D) (-3, 0)(0, -6)

Question 7

Find the slope of the line going through the pair of points.
-(6.3, -9.4), (1.6, -4.4)

Accepted Answer

A) -1.1 
B) -4.7 
C) 1.1 
D) 5 
A) -1.1 
B) -4.7 
C) 1.1 
D) 5

Question 8

Find the slope of the line.
-

Accepted Answer

A)  $- \frac { 1 } { 4 }$ 
B)  $- 4$ 
C)  4 
D)  $\frac { 1 } { 4 }$ 
A)  $- \frac { 1 } { 4 }$ 
B)  $- 4$ 
C)  4 
D)  $\frac { 1 } { 4 }$

Question 9

Graph the linear equation.
-$y=-6 x$

Accepted Answer

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

Question 10

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.
-$$y = \frac { 1 } { 2 } x + 2 ; ( 4,4 ) , ( - 6 , - 1 )$$

Accepted Answer

Show that (4, 4)is a solution: \[\begin{

Question 11

Graph the line containing the given pair of points and find the slope.
-(3, 5)(-4, 5)

Accepted Answer

A)  0
  
B)  0
  
C)  1
  
D)  1
  
A)  0
  
B)  0
  
C)  1
  
D)  1

Question 12

Provide an appropriate response.
-Does every straight line have an x-intercept? If not, give an example of an equation whose graph does not have
an x-intercept.

Accepted Answer

The @#LAT-DLM&-intercept is the point wh

Question 13

Plot the ordered pairs on the rectangular coordinate system provided.
-A(-2, -6), B(-1, 3)

Accepted Answer

The answer of Plot the ordered pairs on the rectangular...

Question 14

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

Accepted Answer

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

Question 15

Find the slope of the line.
-

Accepted Answer

A)  $- \frac { 1 } { 2 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $- 2$ 
D)  2 
A)  $- \frac { 1 } { 2 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $- 2$ 
D)  2

Question 16

Find the slope of the line.

-$$x = - 3$$

Accepted Answer

A)  3 
B)  0 
C)  $- 3$ 
D)  Undefined 
A)  3 
B)  0 
C)  $- 3$ 
D)  Undefined

Question 17

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

-y = x - 9

Accepted Answer

A) (-9, 0) 
B) (0, -9) 
C) (0, 1) 
D) (0, 9) 
A) (-9, 0) 
B) (0, -9) 
C) (0, 1) 
D) (0, 9)

Question 18

Solve the problem.
-The value of a particular computer system is represented in the following graph. Find the rate of change of the value of the computer system with respect to time, in dollars per year.

Accepted Answer

A) -$250 per year 
B) -$500 per year 
C) -$1250 per year 
D) -$750 per year 
A) -$250 per year 
B) -$500 per year 
C) -$1250 per year 
D) -$750 per year

Question 19

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

Accepted Answer

Show that (4, -1)is a solution: \[\begin

Question 20

Solve the problem.
-Over one particular stretch of road, the Whitepoint Highway rises 551 ft over a horizontal distance of 3100 ft. Find the grade of the road.

Accepted Answer

A) 0.06% 
B) 8.9% 
C) 17.8% 
D) 4.4% 
A) 0.06% 
B) 8.9% 
C) 17.8% 
D) 4.4%

Provide an appropriate response. -Explain how you would find the x intercept of a line with an equation of the form Ax + By = C.

Write an equation for the graph. -

Find the slope of the line going through the pair of points. - $\left( \frac { 1 } { 6 } , - 5 \right) , \left( \frac { 1 } { 3 } , - 2 \right)$

Find the x- and y-intercepts for the equation. Then graph the equation. --4x - 8y = 24

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.

Find the coordinates of the y-intercept and the coordinates of the x-intercept. -2x + y = -6

Find the slope of the line going through the pair of points. -(6.3, -9.4), (1.6, -4.4)

Find the slope of the line. -

Graph the linear equation. - $y=-6 x$

Graph the line containing the given pair of points and find the slope. -(3, 5)(-4, 5)

Provide an appropriate response. -Does every straight line have an x-intercept? If not, give an example of an equation whose graph does not have an x-intercept.

Plot the ordered pairs on the rectangular coordinate system provided. -A(-2, -6), B(-1, 3)

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

Find the slope of the line. -

Find the slope of the line. - $x = - 3$

Find the coordinates of the y-intercept for the given equation. -y = x - 9

Solve the problem. -The value of a particular computer system is represented in the following graph. Find the rate of change of the value of the computer system with respect to time, in dollars per year.

Solve the problem. -Over one particular stretch of road, the Whitepoint Highway rises 551 ft over a horizontal distance of 3100 ft. Find the grade of the road.

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

More on Inequalities

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

Filters

Exam 3: Graphs of Linear Equations

Provide an appropriate response. -Explain how you would find the x intercept of a line with an equation of the form Ax + By = C.

Write an equation for the graph. -

Find the slope of the line going through the pair of points. - (16,−5),(13,−2)\left( \frac { 1 } { 6 } , - 5 \right) , \left( \frac { 1 } { 3 } , - 2 \right)(61​,−5),(31​,−2)

Find the x- and y-intercepts for the equation. Then graph the equation. --4x - 8y = 24

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.

Find the coordinates of the y-intercept and the coordinates of the x-intercept. -2x + y = -6

Find the slope of the line going through the pair of points. -(6.3, -9.4), (1.6, -4.4)

Find the slope of the line. -

Graph the linear equation. - y=−6xy=-6 xy=−6x

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=12x+2;(4,4),(−6,−1)y = \frac { 1 } { 2 } x + 2 ; ( 4,4 ) , ( - 6 , - 1 )y=21​x+2;(4,4),(−6,−1)

Graph the line containing the given pair of points and find the slope. -(3, 5)(-4, 5)

Provide an appropriate response. -Does every straight line have an x-intercept? If not, give an example of an equation whose graph does not have an x-intercept.

Plot the ordered pairs on the rectangular coordinate system provided. -A(-2, -6), B(-1, 3)

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

Find the slope of the line. -

Find the slope of the line. - x=−3x = - 3x=−3

Find the coordinates of the y-intercept for the given equation. -y = x - 9

Solve the problem. -The value of a particular computer system is represented in the following graph. Find the rate of change of the value of the computer system with respect to time, in dollars per year.

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=12x−3;(4,−1),(−2,−4)y = \frac { 1 } { 2 } x - 3 ; ( 4 , - 1 ) , ( - 2 , - 4 )y=21​x−3;(4,−1),(−2,−4)

Solve the problem. -Over one particular stretch of road, the Whitepoint Highway rises 551 ft over a horizontal distance of 3100 ft. Find the grade of the road.

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

More on Inequalities

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

Filters

Find the slope of the line going through the pair of points. - $\left( \frac { 1 } { 6 } , - 5 \right) , \left( \frac { 1 } { 3 } , - 2 \right)$

Graph the linear equation. - $y=-6 x$

Find the slope of the line. - $x = - 3$