Find an equation for the perpendicular bisector of the line segment whose endpoints are (7,4) and (-5,8).

9514 1404 393

  y = 3x +3

Step-by-step explanation:

The midpoint of the given segment is a point on the line. That point is ...

  M = ((7, 4) +(-5, 8))/2 = (7-5, 4+8)/2 = (1, 6)

The difference between the end points can be helpful in writing the equation.

 (-5, 8) -(7, 4) = (-12, 4) = (Δx, Δy)

Then the general form of the equation of the perpendicular bisector can be written as ...

  Δx(x -Mx) +Δy(y -My) = 0 . . . . . where midpoint M = (Mx, My)

  -12(x -1) +4(y -6) = 0

Dividing by -4 and eliminating parentheses, we have ...

  3(x -1) -(y -6) = 0

  3x -y +3 = 0 . . . . general form equation for the line

  y = 3x +3 . . . . . . slope-intercept form equation

2/5

step-by-step explanation:

its a trick question

step-by-step explanation:

dogs love water, just turn on the hose and it will run in circles chasing the water all day : )