Question

Find the equation of the line perpendicular to the line 3/5x+8 that passes through the point (-3, 1)

Answer 1

y = -5/3x - 4

Explanation:

Perpendicular line need the reciprocal and opposite sign of the slope for the original equation. Next, you substitute the x and y coordinate into the new equation to find the y-intercept.

y = 3/5x + b

y = -5/3x + b

1 = -5/3(-3) + b

1 = 5 + b

-5 -5

-4 = b

y = -5/3x - 4