SOLUTION: Sheila needs to determine the equation of a line passing through the point (–6, –2) that is perpendicular to y = 2x– 4. Which equation best represents Sheila's equation?

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Question 717112: Sheila needs to determine the equation of a line passing through the point (–6, –2) that is perpendicular to y = 2x– 4. Which equation best represents Sheila's equation?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The slope of the line +y+=+2x+-+4+
is +m%5B1%5D+=+2+
Any line which is perpendicular to the line
+y+=+2x+-+4+ will have slope
+m%5B2%5D+=+-1%2Fm%5B1%5D+
+m%5B2%5D+=+-1%2F2+
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(-6,-2)
Use the general point-slope formula
+%28+y+-%28-2%29+%29+%2F+%28+x+-%28-6%29+%29+=+-1%2F2+
+%28+y+%2B+2+%29+%2F+%28+x+%2B+6+%29+=+-1%2F2+
Multiply both sides by +2%2A%28+x+%2B+6+%29+
+2%2A%28+y+%2B+2+%29+=+-%28+x+%2B+6+%29+
+2y+%2B+4+=+-x+-+6+
+2y+=+-x+-+10+
+y+=+-%281%2F2%29%2Ax+-+5+
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check answer:
Does it go through (-6,-2) ?
+-2+=+-%281%2F2%29%2A%28-6%29+-+5+
+-2+=+3+-+5+
+-2+=+-2+
OK
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Here's a plot of the 2 lines:
+graph%28+400%2C+400%2C+-6%2C+6%2C+-10%2C+2%2C+2x+-+4%2C+-%281%2F2%29%2Ax+-+5+%29+