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Use the locus definition method to find the equation of the perpendicular bisector of the line segment whose endpoints are (-2,4) and (3,5). Write the equation in general form.
find mid point of the given points.
\[x=\frac{ x _{1}+x _{2} }{ 2 },y=\frac{ y _{1}+y _{2} }{ 2 }\]
find the slope through two points \[m=\frac{ y _{2}-y _{1} }{ x _{2}-x _{1} }\] slope of line perpendicular to the line joining two points=-1/m
find the eq. of line through mid point with this slope.
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