ahrichard
ahrichard ahrichard
  • 13-12-2018
  • Mathematics
contestada

The line with equation y=my+b is perpendicular to the line with equation y=16 - x/3. The value of m is ____?

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MrsStrong
MrsStrong MrsStrong
  • 13-12-2018

Answer:

m=3

Step-by-step explanation:

Perpendicular lines intersect at 90 degrees or perpendicular angles. As such, their slopes are related. The slope of each line is the negative reciprocal of the other. For the equation, [tex]y=16-\frac{x}{3}[/tex]. The slope or [tex]m=-\frac{1}{3}[/tex]. This means the slope of the other line will be the negative reciprocal which is -(-3)=3

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