Question

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

Place the symbols on the grid to complete the equation.

Answer 1

perpendicular bisector passes through mid point. So, the mid point = (3,-2)
since, lines are perpendicular. product of slopes is -1
Slope of given line = y2-y1 / x2-x1 = 2-4 / -5-1 = -2/-6 = 1/3
So, the slope of bisector = -3
Equation of bisector can be found out using equation of a line having slope m and passing through (x1,y1) :
y-y1 = m (x-x1)
y-(-2) = -3(x-3)
y+2 = -3x + 9
3x+y-7 = 0

Answer 2

Thank you!