A perpendicular bisector, CD, is drawn through point C on AB. If the coordinates of point A are (-3, 2) and the coordinates of point B are (7, 6), the x-intercept of CS is (18/5, 0) Point (32, 71) lies on CD.
How to find the point that lies on the line
The point that lies on the line is found by graphing each point and checking if the point on the line. Alternatively we find the equation of the line and substitute the input values and solve for the output value
The slope of the line is solved using point (2, 4) and (3.6, 0) (check graph)
m = (4 - 0) / (2 - 3.6) = 4 /-1.6
m = -2.5
We find the equation of the line using point slope equation with point (3.6, 0)
y - 0 = -2.5(x - 3.6)
y = -2.5x - 9
For (32, -71)
y = -2.5(32) + 9 = -71
The point that lies on the line is (32, 71)