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# What is the equation and its perpendicular bisector equation of the line joining the points of -7 -3 and -1 -4 on the Cartesian plane showing key stages of work?

Updated: 10/26/2022

Wiki User

10y ago

The key stages of the work are the following:

1) Find the slope for the line that joins the given points.

2) Divide -1 by this slope to get the slope of the perpendicular line.

3) Find the midpoint (calculate the averages of the x-coordinates and of the y-coordinates).

4) Use the point-slope equation of the line to find a line with the desired slope, that goes through the desired point.

Points: (-7, -3) and (-1, -4)

Mdpoint: (-4,-3.5)

Slope: -1/6

Perpendicular slope: 6

Equation: 6y = -x-25 or as x+6y+25 = 0

Perpendicular bisector equation: y = 6x+20.5 or as 6x-y+20.5 = 0

Wiki User

10y ago

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Q: What is the equation and its perpendicular bisector equation of the line joining the points of -7 -3 and -1 -4 on the Cartesian plane showing key stages of work?
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