Question

Identify an equation in slope-intecept form for the line parallel to y=5x+2 that passes through(-6,-1).

A.y=5x+29
B.y=-5x-11
C.y=5x-29
D.y=1/5x+1/6

Answer 1

A

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x + 2 ← is in slope- intercept form

with slope m = 5

• Parallel lines have equal slopes, hence

y = 5x + c ← is the partial equation of the parallel line

To find c substitute (- 6, - 1) into the partial equation

- 1 = - 30 + c ⇒ c = - 1 + 30 = 29

y = 5x + 29 → A