avahaener0 avahaener0
  • 22-09-2021
  • Mathematics
contestada

What is the equation, in slope-intercept form, for the line through the point
(3,-1) and perpendicular to y = 5x + 2?

Respuesta :

stephenonley
stephenonley stephenonley
  • 24-09-2021

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:

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