SOLUTION: write the equation of the line perpindicular to y=1/2x-5 through point (3,-7) [1/2 is one half]

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Question 238229: write the equation of the line perpindicular to
y=1/2x-5 through point (3,-7)
[1/2 is one half]
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
y=1/2x-5 (red line)
through point (3,-7)
This line has a slope=1/2.
A perpendicular line's slope=-2.
-7=-2*3+b
-7=-6+b
b=-7+6
b=-1 The y intercept.
y=-2x-1 (green line)
+graph%28+300%2C+300%2C+-6%2C+5%2C+-6%2C+5%2C+x%2F2+-5%2C+-2x+-1%29+ (graph 300x300 pixels, x from -6 to 5, y from -6 to 5, of TWO functions x/2 -5 and -2x -1).
x/2-5=-2x-1
x/2+2x=-1+5
(x+2*2x)/2= 4
x+4x=8
5x=8
x=8/5=1.6 ans. for the x value.
y=1.6/2-5
y=.8-5
y=-4.2 ans. for the y value.
Answer (1.6,-4.2)