Write an Equation that is perpendicular to 2x-3y=5 and goes through the point (0,2)

Question

Write an Equation that is perpendicular to 2x-3y=5 and goes through the point (0,2). Explain.

Answer 1

2x=3y+5

2x-5=3y

(2/3)x-(5/3)=y

The slope of the perpendicular is -3/2

(0,2) is the intercept

Y= (-3/2)x+2