Question

ermining the equation of a perpendicular bisector
find the equation of the perpendicular bisector of the given segment by following these steps.

1. determine the slope of the given segment

check

Explanation:

Step1: Identify two - point coordinates

Let the two - end points of the line segment be \((x_1,y_1)\) and \((x_2,y_2)\). Assume the two points are \((- 2,-2)\) and \((2,4)\) from the graph.

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substitute \(x_1=-2,y_1 = - 2,x_2 = 2,y_2=4\) into the formula: \(m=\frac{4-( - 2)}{2-( - 2)}=\frac{4 + 2}{2 + 2}=\frac{6}{4}=\frac{3}{2}\).

Answer:

\(\frac{3}{2}\)