Hey there! :)
Answer:
m= -2/3.
Step-by-step explanation:
A perpendicular line has a slope that is the negative reciprocal of the original. Therefore:
Begin by converting this equation into slope-intercept form:
(y = mx + b)
2y - 3x = 8
Add 3x to both sides:
2y = 3x + 8
Divide both sides by 2:
y = 3/2x + 4
Find the negative reciprocal of 3/2:
3/2 --> -2/3. This is the slope of the perpendicular line.
