Question

Indicate the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5).

Answer 1

To find the equation of any line, you must have slope m and y-intercept b. Follow these steps:

1. Find the slope of (4,1) and (2,-5). Then take the negative reciprocal of that slope, to get the perpendicular line slope. This is your m.
2. Find the midpoint of (4,1) and (2,-5). This is a point along the perpendicular bisector
3. Use point slope to plug in the point along the perpendicular bisector and the slope of the line. Then solve for y=mx+b