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A line goes through points (0, 3) and (6, 12). What would be the slope of this line's perpendicular bisector?

User Pankeel
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1 Answer

5 votes

Answer:

the slope of the perpendicular bisector is -2/3

Explanation:

The slope of the line joining the two points P1(0,3), P2(6,12) is given by

m1 = (y2-y1) / (x2-x1) = (12-3) / (6-0) = 9/6 = 1.5

The slope m2 of a line perpendicular to the previous line is given by

m1*m2 = -1

solving

m2 = -1/m1 = -1/ (3/2) = -2/3

THerefore the slope of the perpendicular bisector is -2/3

User Wesly
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