Point of Intersection of Linear Graph

The original function y = 2/5 x + 4 is graphed on the same grid as the new function y = 5/2 x + 4. Which of the following statements about these graphs is true?

• The graph of the original function is steeper than the graph of the new function.

• The graph of the original function is parallel to the graph of the new function.

• The graphs intersect at (4, 0).

• The graphs intersect at (0, 4).

Which table identifies points on the line created by the equation y − 5x = −9?

• 
• 
• 
• 

Tags

CCSS.HSF.IF.A.1

If the y-intercept of the graph showed is changed to (0, 5) and the slope becomes −4, which statement best describes the relationship between the two lines when they are graphed on the same coordinate grid?

• The y-intercepts are 1 unit apart, and the lines are parallel.

• The y-intercepts are 1 unit apart, and the lines intersect at (1, 1).

• The y-intercepts are 1 unit apart, and the lines are perpendicular.

• The y-intercepts are 1 unit apart, and the lines intersect at (1, 0).

Two functions are shown below.

f(x) = 3x + 7

g(x) = 2x + 12

What is the value of x where the graphs of f(x) and g(x) intersect?

• -22

• -5

• 5

• 22

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

• A

• B

• C

• D

Tags

CCSS.8.EE.C.8B

The graphs given show the functions f and g. 
At which value of x does f=g?

• 5

• 6

• 4

• 2

Two functions are shown below. f(x) = 3x + 7 g(x) = 2x + 12 What is the value of x where the graphs of f(x) and g(x) intersect?

• -22

• -5

• 5

• 22

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Given f(x) = -4x - 10 and f(x) = 10. Find x

• x = -5

• x = 5

• x = -50

• x = 30

Tags

CCSS.HSF.IF.A.2

What is the solution?

• (6, 3)

• (3, 6)

• (-6, 3)

• No solution

Tags

CCSS.8.EE.C.8B

What is the solution to this system?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

Tags

CCSS.8.EE.C.8B