What is the equation of the line that passes through the point (-2,3) and that is perpendicular to the line represented by 3x-2y

Question

3 years ago

9

= -2?

1 answer:

motikmotik · Answer 1 · 2022-03-19T10:05:38+03:00

motikmotik3 years ago

5 0

Answer:

3y + 2x = 5

Step-by-step explanation:

3x-2y = -2

2y = 3x + 2

y = (3/2)x + 1

Slope is 3/2

Slope of the Perpendicular line is -2/3

y = (-2/3)x + c

x = -2 , y = 3

3 = (-2/3)(-2) + c

3 = 4/3 + c

c = 3 - 4/3 = 5/3

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

3y = -2x + 5

3y + 2x = 5