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.

y= 1/3x

Step-by-step explanation:

To find the slope, convert the standard form of the equation into slope intercept form, y=mx+b.

3x-+y=-8

y=-3x-8

The slope is -3 and the slope of the new line will be 1/3 because the negative reciprocal creates a perpendicular line. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.

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

y-1=1/3x-1

y=1/3x+0

y= 1/3x