Answer:
A perpendicular line has an opposite-reciprocal slope.
The slope given is m = 5. So the perpendicular slope is m = [tex]-\frac{1}{5}[/tex].
Now subsitute your (x, y) values to find the y-intercept, b.
[tex]y = -\frac{1}{5} x + b[/tex]
[tex]-1 = -\frac{1}{5}( 3) + b[/tex]
[tex]-1 = -\frac{3}{5}+ b[/tex]
[tex]-1 + \frac{3}{5} = b[/tex]
[tex]-\frac{5}{5} + \frac{3}{5} = b = -\frac{2}{5}[/tex]
Answer: [tex]y = -\frac{1}{5} x - \frac{2}{5}[/tex]
Step-by-step explanation:
