Questions: Find the midpoint of the line segment connecting the given points. (-5,8) and (3,-2)

Transcript text: 2. Find the midpoint of the line segment connecting the given points. \[ (-5,8) \text { and }(3,-2) \]

Solution

Solution Steps

Step 1: Identify the Given Information

The given endpoints of the line segment are A(-5, 8) and B(3, -2).

Step 2: Apply the Midpoint Formula

The midpoint \(M\) of a line segment with endpoints \(A(x_1, y_1)\) and \(B(x_2, y_2)\) is found using the formula: \[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \] Substituting the given values, we get: \[ M = \left( \frac{-5 + 3}{2}, \frac{8 - 2}{2} \right) = (-1, 3) \]