Question

What is the equation of the line in slope-intercept form that passes through point (3,-2) and is parallel to the line y = 2x+4? Show all necessary steps.

Answer 1

Answer: y=2x-8

Step-by-step explanation:

Parallel lines have the same slope, so the slope of the line we want to find is 2.

Substituting into point-slope form gives

$y+2=2(x-3)$

Rearranging into slope-intercept form,

$y+2=2x-6\\\\y=2x-8$