SOLUTION: Find the equation for the line passing through the origin and perpendicular to y = ½ x – 2.

Algebra ->  Linear-equations -> SOLUTION: Find the equation for the line passing through the origin and perpendicular to y = ½ x – 2.      Log On


   

Question 326761: Find the equation for the line passing through the origin and perpendicular to y = ½ x – 2.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
PErpendicular lines have slopes that are negative reciprocals.
m1%2Am2=-1
%281%2F2%29%2Am2=-1
m2=-2
Your new equation will have the form,
y=-2x%2Bb
Use the point (0,0) to solve for b.
0=0%2Bb
b=0
highlight%28y=-2x%29
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graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C%281%2F2%29x-2%2C-2x%29