Question

What is the equation, in slope-intercept form, for the line through the point

Answer 1

Answer:

A perpendicular line has an opposite-reciprocal slope.

The slope given is m = 5. So the perpendicular slope is m = $-\frac{1}{5}$.

Now subsitute your (x, y) values to find the y-intercept, b.

$y = -\frac{1}{5} x + b$

$-1 = -\frac{1}{5}( 3) + b$

$-1 = -\frac{3}{5}+ b$

$-1 + \frac{3}{5} = b$

$-\frac{5}{5} + \frac{3}{5} = b = -\frac{2}{5}$

Answer: $y = -\frac{1}{5} x - \frac{2}{5}$

Step-by-step explanation: