Question

What is the equation, in slope-intercept form, of the line parallel to -5x + y = 2 that passes through the point

with coordinates (-2, 1)?

Answer 1

y = 5x + 11

Explanation:

- first rearrange -5x + y = 2 and you'll have y = 5x + 2

- the slopes of parallel lines are equal so the slope of the line is 5

so far we have y = 5x + b

- to get b, replace the values in the equation by the values of the given point

(1) = 5(-2) + b

- rearrange and calculate, b = 11

y = 5x + 11