Step 1: Problem
Mid-point of V ( 11, -14 ) and W ( -19, 15 )
Step 2: Concept
[tex]\begin{gathered} coordinatesofthe\text{mid}-po\text{ int = ( x , y )} \\ x\text{ = }\frac{x_1+x_2}{2} \\ y\text{ = }\frac{y_1+y_2}{2} \end{gathered}[/tex]
Step 3: Method
Substitute the given data to find the coordinates of the mid-point
Given data
x1 = 11
y1 = -14
x2 = -19
y2 = 15
[tex]\begin{gathered} x\text{ = }\frac{-\text{ 19 + 11}}{2}\text{ = }\frac{\text{ -}8}{2}\text{ = -}4 \\ y\text{ = }\frac{15\text{ +(-14)}}{2}\text{ = }\frac{1}{2}\text{ = }0.5 \end{gathered}[/tex]
Step 4: Final answer
The coordinates of the mid-point = ( -4 , 0.5 )
