SOLUTION: what is the slope-intercept form of (2,0); perpendicular to 5y=-x+2 for the line that passes through the given point?

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Question 698422: what is the slope-intercept form of (2,0); perpendicular to 5y=-x+2 for the line that passes through the given point?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+5y+=+x+%2B+2+
+y+=+%281%2F5%29%2Ax+%2B+2%2F5+
Any line perpendicular to this line will have slope = +-1%2Fm+
where +m+ is the slope of the given line. In this case, +m+=+1%2F5+
+-1%2Fm+=+-5+
Now given ( 2,0 ) and +m+=+-5+,
I can write the general point-slope formula:
+%28+y+-+0+%29+%2F+%28+x+-+2+%29+=+-5+
+y+=+-5%2A%28+x+-+2+%29+
+y+=+-5x+%2B+10+ answer
check:
Does it go through (2,0) ?
+0+=+-5%2A2+%2B+10+
+0+=+-10+%2B+10+
+0+=+0+
OK