Answer:
y - 9 = -3/2 (x - 6)
Step-by-step explanation:
Equation of line: 4x - 6y - 15 = 0
Equation of perpendicular line: bx - ay + k = 0
= -6x - 4y + k = 0 → (equation 1)
Since the equation passes through (6,9)
-6(6) - 4(9) + k = 0
-36 -36 + k = 0
-72 + k = 0
k = 72
Substituting the value of in equation 1,
∴ Equation of perpendicular line = -6x -4y + 72 = 0
dividing by -2,
3x + 2y - 36 = 0
This equation is the simplified version of Option 1.
y - 9 = -3/2 (x - 6)
y - 9 = (-3x + 18)/2
2y - 18 = -3x + 18
3x + 2y - 36 = 0
