Question

directions - use the midpoint formula to find the midpoint of the (-5,5) and (2,4) midpoint formula: (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2}) midpoint =

Explanation:

Step1: Substitute the values into the mid - point formula for the x - coordinate

Given \(x_1=-5\), \(x_2 = 2\). The x - coordinate of the mid - point \(M_x=\frac{x_1 + x_2}{2}=\frac{-5+2}{2}\)

$$=\frac{-3}{2}=-1.5$$

Step2: Substitute the values into the mid - point formula for the y - coordinate

Given \(y_1 = 5\), \(y_2=4\). The y - coordinate of the mid - point \(M_y=\frac{y_1 + y_2}{2}=\frac{5 + 4}{2}\)

$$=\frac{9}{2}=4.5$$

Answer:

\((-1.5,4.5)\)