Find an equation of the line described. Leave the solution in the form Ax + By = C. The line is the perpendicular bisector of the line segment that joins (2, 7) and (6, −1).

Question

Find an equation of the line described. Leave the solution in the form Ax + By = C.

The line is the perpendicular bisector of the line segment that joins (2, 7) and (6, −1).

 

Answer 1

Find slope and midpoint of (2,7) and (6,-1). call slope m and midpoint (x1,y1)

slope of new line is then:

y - y1 = m(x - x1)

use algebra to convert to ax + by = c format