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Find the equation of the right bisecter of the line segment joing the points (3,4) and (-1,2)

K.omkar 20th Aug, 2026

Answer (1)

Mansi 23rd Aug, 2026

Step 1: Find the midpoint

Midpoint = ((3 + (−1))/2, (4 + 2)/2)

= (1, 3)

Step 2: Find the slope of AB

Slope of AB = (4 − 2)/(3 − (−1))

= 2/4 = 1/2

The perpendicular bisector has slope: −2

Step 3: Equation of the perpendicular bisector

Using point-slope form: y − 3 = −2(x − 1)

y − 3 = −2x + 2

Therefore,

2x + y − 5 = 0

The equation of the right (perpendicular) bisector is 2x + y − 5 = 0.

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