Answer:
The answer to your question is: y = -2/3 x + 18
Step-by-step explanation:
Data
Point = (-9, 12)
line y = 3/2x -1/2 perpendicular
Process
The line must be perpendicular to the line given. Then,
slope is the line given = 3/2, we change it because the lines must be perpendicular ,
New slope M = -2/3
New line y-y1 = m(x - x1)
y - 12 = -2/3 (x + 9) Substitution
3( y - 12) = -2(x + 9)
3y - 36 = -2x - 18 Simplify
3y = -2x - 18 + 36
3y = -2x + 18
y = -2/3 x+ 18 Result
