Question

Which line is perpendicular to the line 5x - 4y = 12 and goes through the point (5, 2)? (1 point)
y = (5/4)x + 6
y =-(4/5)x + 6
y =(4/5)x + 6
y =-(4/5)x - 3

Answer 1

First find the slope of 5x − 4y = 12:
y = (5/4)x − 3, so slope = 5/4.
Perpendicular slope = −4/5. Use point-slope with (5,2):
y − 2 = −4/5(x − 5) → y = −4/5 x + 6.

Answer: y = −(4/5)x + 6.