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V11, -14 and w -19, 15 are the influence of the line segment what is the midpoint M of that line segment right the coordinates as decimals are integers

V11, -14 and w -19, 15 are the influence of the line segment what is the midpoint-example-1

1 Answer

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Step 1: Problem

Mid-point of V ( 11, -14 ) and W ( -19, 15 )

Step 2: Concept


\begin{gathered} coordinatesofthe\text{mid}-po\text{ int = ( x , y )} \\ x\text{ = }(x_1+x_2)/(2) \\ y\text{ = }(y_1+y_2)/(2) \end{gathered}

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


\begin{gathered} x\text{ = }\frac{-\text{ 19 + 11}}{2}\text{ = }\frac{\text{ -}8}{2}\text{ = -}4 \\ y\text{ = }\frac{15\text{ +(-14)}}{2}\text{ = }(1)/(2)\text{ = }0.5 \end{gathered}

Step 4: Final answer

The coordinates of the mid-point = ( -4 , 0.5 )

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