DeadShot
  • DeadShot
What is the slope of the line that is perpendicular to y = 2x – 3?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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hartnn
  • hartnn
can you find slope of this line ? y= 2x-3 ?
DeadShot
  • DeadShot
the slope is 0 for y=2x-3
hartnn
  • hartnn
nopes, how ? compare it with, y= mx+c where m= slope

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DeadShot
  • DeadShot
oh, so then the slope is 2?
hartnn
  • hartnn
yes now product of slope of perpendicular lines =-1 so, to get the slope of perpendicular line, you just take negative reciprocal of this slope
DeadShot
  • DeadShot
so then the slope of the perpendicular line would be -2?
anonymous
  • anonymous
\[ 0=\begin{bmatrix} 1 \\ m \end{bmatrix} \cdot \begin{bmatrix} 1 \\ m' \end{bmatrix} \implies 1 + mm' = 0 \implies mm' = -1 \implies m' = -\frac 1 m \]
hartnn
  • hartnn
you forgot to do reciprocal ?
DeadShot
  • DeadShot
yeah, It's been a while since I've done this
anonymous
  • anonymous
So if \(m\) is the slope of a line, a line who is perpendicular has slope \(m' = -\frac 1 m\).
hartnn
  • hartnn
what is the reciprocal of 2 ?
DeadShot
  • DeadShot
ok, so then the reciprocal of 2 would be \[- \frac{ 1 }{ 2 }\] right?
hartnn
  • hartnn
reciprocal of 2 is 1/2 so, the slope of line will be -1/2 yes, correct.
hartnn
  • hartnn
slope of perpendicular line**
DeadShot
  • DeadShot
Okay, thanks!
hartnn
  • hartnn
welcome ^_^

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