Question

WILL FAN AND MEDAL!
Given ΔGHI with G(4, –3), H(–4, 2), and I(2, 4), find the perpendicular bisector of Segment HI in standard form.

Answer 1

slope of HI=\[\frac{ 4-2 }{ 2-(-4) }=\frac{ 2 }{ 6 }=\frac{ 1 }{ 3 }\]
slope of perpendicular bisector\[=\frac{ -1 }{ \frac{ 1 }{ 3 } }=-3\]
eq. of perpendicular bisector is
y-3=-3(x+1)
y-3=-3x-3
y=-3x