SOLUTION: Find an equation of the line containing the given point and perpendicular to the given line: (1,4) x-2y=6

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Question 411083: Find an equation of the line containing the given point and perpendicular to the given line:
(1,4)
x-2y=6

Answer by rfadrogane(214) About Me  (Show Source):
You can put this solution on YOUR website!
Find an equation of the line containing the given point and perpendicular to the given line:
(1,4)
x-2y=6
Sol'n:
Find the slope of the line first:
2y=x-6
y=(1/2)x-3
m=1/2
for the slope which is perpendicular is -1/m
m=-2 (slope of the perpendicular line)
at P(1,4)
y-y1=m(x-x1)
y-4=(1/2)(x-4)
2(y-4)=x-4
2y-8=x-4
x+2y+4=0 ---answer
^_^