Write the equation of the line perpendicular to 3x +2y= -8 that passes through (3,1). Write you answer in slope-intercept form. Show ALL your work!

Answer 1

First, put the original equation into the "slope-intercept" format: y = mx + b, where m is the slope, and b is the y-intercept.

The perpendicular line will have the slope m' = -1/m (negative reciprocal) and the new equation is y = m'x + b'

To find the new equation, plug in m' and the x and y values for the given point. You can then solve for b'