Answer:
The Answer is: y = -2x + 4
Explanation:
The given equation for a line:
y = 1/2x + 5
The given point: (3, -2)
The slope is 1/2
The slope of a perpendicular line is the negative inverse: -2
Use the point slope equation for a line:
y - y1 = m(x - x1)
y - (-2) = -2(x - 3)
y + 2 = -2x + 6
Subtract 2 from each side:
y = -2x + 4