Answer:
y = -5x + 7
Step-by-step explanation:
Segment bisector of the segments AB and CD will pass through the midpoint of these segments.
Midpoint of a segment is given by the coordinates =
where, and are the coordinates of the extreme ends of the segments.
Coordinates of the midpoint of AB =
= (1, 2)
Coordinates of the midpoint of CD =
= (2, -3)
Let the equation of the line will be,
Slope of the line passing through two points and is,
m =
=
= -5
Therefore, equation of the line will be passing through (1, 2) and slope (-5),
y - 2 = (-5)(x - 1)
y = -5x + 5 + 2
y = -5x + 7