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

A

Step-by-step 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