Question

What is the equation of the line perpendicular to 3x + y = -1 and passes through the point (-3,5)? Write your

answer in slope-intercept form. Show all work.

please help

Answer 1

y = 1/3x + 6

Explanation:

Rearrange equation to get y by itself.

3x + y = -1

y = -3x - 1

Perpendicular = opposite reciprocal. This means that the slope = 1/3

Convert to point-slope form: y - y1 = m (x - x1)

y - 5 = 1/3 (x - (-3))

y - 5 = 1/3 (x + 3)

y - 5 = 1/3x + 1

y = 1/3x + 6