Question

Write the equation in slope intercept form of the perpendicular bisector of a segment with endpoints of (2,5) and (4.9). ​

Answer 1

The slope from (2,5) to (4,9) is 4/2 or just 2.
A perpendicular will have a gradient of -1/2
The midpoint is (3,7)
Therefore y=mx+c becomes 7=-1/2 x 3 + c
c = 7 + 3/2
The perpendicular bisector has the equation y = -1/2x + 17/2