Answer:
Y-intercept is (0,8)
Step-by-step explanation:
Firstly, we need to get the equation of the line segment
We have the general equation as;
y = mx + b
m is the slope and b is the y-intercept
So for the slope between (9,6) and (-2,-1); we have
m = (y2-y1)/(x2-x1)
m = (-1-6)/(-2-9) = -7/-11 = 7/11
Mathematically, when two lines are perpendicular, their slopes have a product of -1
Let the slope of the second line be m
m * 7/11 = -1
7m = -11
m = -11/7
The equation of the second line is;
y = mx + b
y = -11x/7 + b
The line passes through the point (3.5,2.5)
So,
2.5 = -11/7(3.5) + b
2.5 = -5.5 + b
b = 2.5 + 5.5
b = 8
so the y-intercept of the perpendicular bisector is 8
