SOLUTION: find the equation of the locus of all points which are equidistant to the points A(-5,2) and B(-7,-4)

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Question 792560: find the equation of the locus of all points which are equidistant to the points A(-5,2) and B(-7,-4)
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
That description defines a line. The midpoint of the two given points is on this line and this line is perpendicular to the line which the two given points define.

METHOD:

Find midpoint of segment AB.

Find equation for the line AB.

Determine slope of line AB.

Use Point-Slope Form equation with negative reciprocal of slope for line AB, and the midpoint of segment AB, to find the equation of the line equidistant from points A and B.

Just fill in the parts to the METHOD. If you have trouble, say, and I'll give more detailed help.