Answer:
The answer to your question is y = -7/2x -13/2
Step-by-step explanation:
Point = (-3, 4)
Line -2x + 7y = -3
Process
1.- Solve equation for y to find the slope of the perpendicular line
7y = 2x - 3
y = 2/7 x - 3/7
slope = 2/7
Slope of the perpendicular line = -7/2
2.- Find the equation of the new line
y - y1 = m(x - x1)
y - 4 = -7/2(x + 3)
y - 4 = -7/2x - 21/2
y = -7/2x - 21/2 + 4
y = -7/2x -21/2 + 8/2
3.- Result
y = -7/2x -13/2
