SOLUTION: Choose the equation of the line passing through the point (-1, -2) and perpendicular to y = x + 2.

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Question 621366: Choose the equation of the line passing through the point (-1, -2) and perpendicular to y = x + 2.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Choose the equation of the line passing through the point (-1, -2) and perpendicular to y = x + 2.
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Standard form of equation for a straight line: y=mx+b, m=slope, b=y-intercept
For given equation: y=x+2
slope=1
slope of line perpendicular to given line=-1 (negative reciprocal)
equation: y=-x+b
solve for b using given point (-1,-2) on the line
-2=-1*-1+b
b=-3
equation: y=-x-3
See graph below as a visual check:
+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+x%2B2%2C-x-3%29+