Question

Write the equation of the line that is perpendicular to the line x - 4y = 20 and passes through the point (2, -5).

y = 1/4x - 3
y = 1/4x + 13
y = - 1/4x + 3
y = -4x + 3
y = 4x + 3

Answer 1

First rewrite the given line: x - 4y = 20 → y = (1/4)x - 5, so its slope is 1/4. A perpendicular slope is -4. Using point-slope through (2,-5):

y + 5 = -4(x - 2) → y = -4x + 3.

Answer: y = -4x + 3.