Question

Write an equation of the perpendicular bisector of the segment with the endpoints A(-2,-2) and B(6,0).

Linear equations and graphs
ANSWERED
asked 2021-01-05
Write an equation of the perpendicular bisector of the segment with the endpoints A(-2,-2) and B(6,0).

Answers (1)

2021-01-06
AB has a midpoint of \(\displaystyle{\left({\left(\frac{{-{2}+{6}}}{{2}}\right)},\frac{{-{2}+{6}}}{{2}}\right)}{)}{)}={\left({2},-{1}\right)}\). The slope of AB is \(\displaystyle\frac{{{y}{2}-{y}{1}}}{{{x}{2}-{x}{1}}}=\frac{{{6}-{\left(-{2}\right)}}}{{{6}-{\left(-{2}\right)}}}=\frac{{2}}{{8}}=\frac{{1}}{{4}}\) so the slope of its perpendicular bisector is -4. Using point slope form of a line, the equation of the perpendicular bisector of AB is:
y-y1=m(x-x1)
y-(-1)=-4(x-2)
y+1=-4x+8
y=-4x+7
0
 
Best answer

expert advice

Need a better answer?
...