Question

directions - use the midpoint formula to find the midpoint be
(-4,9) and (2,1)
midpoint formula: $\left(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2}\
ight)$
midpoint =

Explanation:

Step1: Substitute coordinates into formula

Let \((x_1,y_1)=(-4,9)\) and \((x_2,y_2)=(2,1)\).
The \(x\) - coordinate of the mid - point: \(\frac{x_1 + x_2}{2}=\frac{-4 + 2}{2}\)
The \(y\) - coordinate of the mid - point: \(\frac{y_1 + y_2}{2}=\frac{9+1}{2}\)

Step2: Calculate \(x\) - coordinate

\(\frac{-4 + 2}{2}=\frac{-2}{2}=-1\)

Step3: Calculate \(y\) - coordinate

\(\frac{9 + 1}{2}=\frac{10}{2}=5\)

Answer:

\((-1,5)\)