SOLUTION: the line through (8,-2) and perpendicular to the line y=-2x+7

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Question 643725: the line through (8,-2) and perpendicular to the line y=-2x+7
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The slope of the line +y+=+-2x+%2B+78+
is +-2+
When the slope is +m+, the slope that
is perpendicular is +-1%2Fm+
+-1%2F%28-2%29+=+1%2F2+
The point-slope form is
+y+=+m%2Ax+%2B+b+
+y+=+%281%2F2%29%2Ax+%2B+b+
The point (8,-2) is included
+-2+=+%281%2F2%29%2A8+%2B+b+
+-2+=+4+%2B+b+
+b+=+-6+
---------
The equation is
+y+=+%281%2F2%29%2Ax+-+6+