What is the equation of the line perpendicular to 3x + y = -8 that passes through (-3, 1)? Write your answer in slope-intercept form. Show your work.

Answer 1

First step, set the above equation in slope intercept form:

y=-3x-8,

Next find the slope of the perpendicular line (negative reciprocal):

slope=1/3

now use point slope form to find the line:

y-1=1/3(x+3), y=x/3+1+1, y=x/3+2