I need help! i need to find the equation of the line that passes through(6, -7) and is perpendicular to y = -2/3 x +2.

Question

Write the equation of the line that passes through(6, -7) and is perpendicular to y = -2/3 x +2.

a.y = -2/3x - 3

b.y = 3/2x -8

c.y = 3/2x +8

d.y = 3/2x -16

Answer 1

perpendicular means a slope equal to the negative inverse of -2/3, or 3/2=m

(6,-7) can be used to plug into the pont slope formula

y-h=m(x-k)

y+7 = (3/2)(x-6)

y = (3/2)x -9-7

y = (3/2)x -16

d is the correct answer