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Sagot :
Hello there!
We are given the equation of the line
y=2x+3
What's the equation of the line perpendicular to it?
- Perpendicular lines have slopes that are opposite reciprocals. This means we take a number, make it negative, and flop it over.
- The slope of the line perpendicular to the given line is -1/2.
- Now that we have the slope of the line and a point that the line passes through, we can find the equation of the line.
- Write it in Point-Slope form:
- y-y1=m(x-x1)
- y-(-5)=-1/2(x-4)
- y+5=-1/2(x-4)
- y+5=-1/2x+2
- y=-1/2x+2-5
- y=-1/2x-3
Therefore, this is the equation. Hope it helps. Good luck.
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