SOLUTION: Write the equation of a line that is perpendicular to the given line and that passes through the given points. y-2 = - 1/4(x+3), (-3,5)

Algebra ->  Expressions-with-variables -> SOLUTION: Write the equation of a line that is perpendicular to the given line and that passes through the given points. y-2 = - 1/4(x+3), (-3,5)      Log On


   

Question 935577: Write the equation of a line that is perpendicular to the given line and that passes through the given points.
y-2 = - 1/4(x+3), (-3,5)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+y+-+2+=+%28+-1%2F4+%29%2A%28+x%2B3+%29+
+y+-+2+=+%28+-1%2F4+%29%2Ax+-+3%2F4+
+y+=+%28+-1%2F4+%29%2Ax+%2B+5%2F4+
Also given the point:
( -3, 5 )
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Any line perpendicular to this line
will have a slope of:
+-1%2Fm+ where +m+=+-1%2F4+
+-1%2Fm++=+4+
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Use the general point-slope formula
+%28+y+-+5+%29+%2F+%28+x+-%28-3%29+%29+=+4+
+%28+y+-+5+%29+%2F+%28+x+%2B+3+%29+=+4+
+y+-+5+=+4%2A%28+x+%2B+3+%29+
+y+-+5+=+4x+%2B+12+
+y+=+4x+%2B+17+ answer
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check:
does it go through ( -3,5 ) ?
+5+=+4%2A%28-3%29+%2B+17+
+5+=+-12+%2B+17+
+5+=+5+
OK
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Here is a plot of the 2 lines: