ktishibarker
ktishibarker ktishibarker
  • 19-03-2018
  • Mathematics
contestada

gerry thinks that the points (4,2) and (-1,4) form a line perpendicular to a line with slope 4. Do you agree? why or why not?

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Bladerunner1976
Bladerunner1976 Bladerunner1976
  • 19-03-2018
1st we need to know the slope of the line with the points (4, 2) and (-1, 4)

m = [tex] \frac{4 - 2}{-1 - 4} = \frac{-2}{5} [/tex]

If the segments are perpendicular, then the slopes will multiply to -1
[tex]4* \frac{-2}{5} = -\frac{8}{5} \neq -1 [/tex]

Since the product is not -1 then the lines are not perpendicular.
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