Question

A line is perpendicular to the line given by the equation - 8 = 2y + 3x. What is the slope of the perpendicular line? 3​

Answer 1

2/3 is the slope of the perpendicular line

Explanation:

1) put into slope-intercept form (y=mx+b)

-8=2y+3x

-2y=3x+8

y=-3/2x-4

2) the line is perpendicular so the slope will be opposite and the reciprical of the original slope.

so, because the original was -3/2, the new one is 2/3