SOLUTION: The coordinates of points A and B are A(-2,-3) and B(2,-5). What is an equation of the line that is perpendicular to AB^ at its midpoint?

Question 905236: The coordinates of points A and B are A(-2,-3) and B(2,-5). What is an equation of the line that is perpendicular to AB^ at its midpoint?
Found 2 solutions by richwmiller, josgarithmetic:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
those points go though this line
y= -0.5x-4
y= 2x+b
is perpendicular
A(-2,-3) and B(2,-5)
y= 2x+b

5= 2*2+b
b=1
so the equation is y= 2x+1
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Find slope of the given points and find slope of the line perpendicular;
Find the midpoint of the given points;
Use either equation form you are comfortable with and form the equation for the perpendicular line
which contains the midpoint.

, "given".

, to ensure m is for the needed perpendicular line.

M:
;
.

You want the equation for the line with slope 2 and passing through point (0,-4).
The rest of this is not done, so that you will do it, finish.

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