alejandra5651
alejandra5651 alejandra5651
  • 30-09-2020
  • Mathematics
contestada

What is the slope of a line perpendicular to the line whose equation is 3x + y = -4.
Fully reduce your answer.

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sqdancefan
sqdancefan sqdancefan
  • 30-09-2020

Answer:

  1/3

Step-by-step explanation:

When the equation of a line is in standard form:

  ax +by = c

We can find its slope by solving for y:

  by = -ax +c

  y = -a/bx +c/b

The slope is the coefficient of x. The slope is -a/b.

__

A perpendicular line has a slope that is the negative reciprocal of this:

  slope of perpendicular line = -1/(-a/b) = b/a

In the given equation, a=3, b=1, so the slope of the perpendicular line is ...

  b/a = 1/3

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