Answer:
y = -3x + 11.
Step-by-step explanation:
The slope of the given line segment is (3-7)/(-4-8) = -4/-12 = 1/3.
The midpoint of the line has coordinates (8-4)/2, (7+3)/2.
= (2, 5).
The slope of the perpendicular bisector = -1/ 1/3 = -3.
So it's bisector has equation:
y - y1 = m(x - x1)=
y - 5 = -3(x - 2)
y = -3x + 6 + 5
y = -3x + 11.
