SOLUTION: what is an equation that passes through the origin, and is perpendicular to the line passing through (2,-3) (-1,0)?

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Question 349501: what is an equation that passes through the origin, and is perpendicular to the line passing through (2,-3) (-1,0)?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First find the slope using the two points.
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29=%280-%28-3%29%29%2F%28-1-2%29=3%2F-3=-1
Perpendicular lines have slopes that are negative reciprocals,
m%5B1%5D%2Am%5B2%5D=-1
-1%2Am%5B2%5D=-1
m%5B2%5D=1
Use the slope-intercept form of a line, y=mx%2Bb
y=x%2Bb
Use the origin (0,0) to solve for b.
0=-0%2Bb
b=0
highlight%28y=x%29
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