jordanwinborne
jordanwinborne jordanwinborne
  • 01-10-2020
  • Mathematics
contestada

The graphs of 4x + 12y + 8 and y = mx + 5 are perpendicular. What is the value of m?

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imSolly
imSolly imSolly
  • 01-10-2020

Answer:

m=3

Step-by-step explanation:

To get a perpendicular equation to another equation, the slope must be the reciprocal of it.

First, you need to isolate the y variable so you can identify the slope.

12y = 8 - 4x

Divide both sides by 12 (and for me I like to keep x close to y).

[tex]y=-1/3x+2/3[/tex]

Now that we have converted it to y=mx+b, we can compare. The reciprocal of 1/3 is 3.

so m = 3.

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