SOLUTION: this is the question: WRITE AN EQUATION OF THE LINE THAT PASSES THROUGH (3,-5)AND IS PERPENDICULAR TO THE LINE THROUGH (1,4) AND (3,-2). i really nee help. please

Algebra ->  Algebra  -> Linear-equations -> SOLUTION: this is the question: WRITE AN EQUATION OF THE LINE THAT PASSES THROUGH (3,-5)AND IS PERPENDICULAR TO THE LINE THROUGH (1,4) AND (3,-2). i really nee help. please      Log On

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Question 24572: this is the question: WRITE AN EQUATION OF THE LINE THAT PASSES THROUGH (3,-5)AND IS PERPENDICULAR TO THE LINE THROUGH (1,4) AND (3,-2). i really nee help. please
Answer by elima(1433) About Me  (Show Source):
You can put this solution on YOUR website!
First of all we need to find the slope of the first line;
m=%28Y2-Y1%29%2F%28X2-X1%29
m=%28-2-4%29%2F%283-1%29
m=-6%2F2
m=-3
Now the perpindicular line to this will have a slope that is the opposite reciprocal -3, 1%2F3
SO the slope of the new line is;
1%2F3
Use the point-slope form to find the equation;
Y-Y1=m(X-X1)
y-(-5)=1%2F3(x-3)
y+5=1%2F3x-1
y=1%2F3x-1-5
So the equation would be;
y=1%2F3x-6
Hope you understand!
=)