Answer:
A
Step-by-step explanation:
Perpendicular bisector of a line divides the line into 2 equal parts and it is perpendicular to the line.
First let's find the midpoint of CD. The point is where the perpendicular bisector will cut through the line.
midpoint=
Thus, midpoint of CD
Gradient of line CD
The product of the gradients of perpendicular lines is -1.
gradient if perpendicular bisector(1)= -1
gradient of perpendicular bisector= -1
y=mx +c, where m is the gradient and c is the y-intercept.
y= -x +c
Subst a coordinate to find c.
<em>Since the perpendicular bisector passes through the point (8, -10):</em>
When x=8, y= -10,
-10= -8 +c
c= -10 +8
c= -2
Thus, the equation of the perpendicular bisector is y= -x -2.