Question

Which of the equations below is the equation of a line perpendicular to y = 1 over 4 x − 6 that passes through the point (−1, 5)?

y − 5 = 1 over 4 (x − (−1))
y − (−1) = 1 over 4 (x − 5)
y − (−1) = −4(x − 5)
y − 5 = −4(x − (−1))

Answer 1

y -5 = -4(x -(-1))

Explanation:

because a perpendicular line is the negative reciprocal of the slope. the slope was 1/4, the negative reciprocal of the is -4. then plug into the equation

y-y1 = m (x-x1)