Question

1 Which choice is the equation of a line that has a y-intercept of 7 and is parallel to the line represented by this equation?

y = 6x− 5

A. y = 6x+ 7
B. y = 6x− 7
C.
D.

2
Which choice could be the equation of a line parallel to the line represented by this equation?

7x− 12y = −32

A.
B.
C.
D. y = 7x− 12

3
Which choice is the equation of a line that passes through the origin and is parallel to the line represented by this equation?

4x− y = −8

A. 8x− y = −4
B. 4x− 8y = 0
C. y = −4x
D. 4x− y = 0

4
Which choice could be the equation of a line perpendicular to the line represented by this equation?

y = 5

A. y = 4x− 9
B. y = -1/5x
C. y = 5x
D. x = 5

Answer 1

Question 1)
y=mx+b
m= slope
b= y-intercept

In this case, the answer is y=6x+7 (same slope of 6 and +7 y intercept)

Question 2)
The equation you are looking for is one with a slope (m) of 7/12 and a y-intercept (b) of 8/3, or ~2.667. The Equaion is y=4x+8/3

Question 3)
Rewrite the equation 4x-y=-8 for slope-intercept form, y=4x+8
Linear equations that go through the origin always have a y-intercept (b) of exactly 0.
We are looking for an equation with a slope equal to 4, and a y-intercept of 0.
y=4x is the answer, which can be rewritten at 4x-y=0 D.