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Question
question
find the midpoint of points a(7,0) and b(-1,-7) graphically.
plot the line segment ab by clicking twice on the graph.
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Step1: Recall mid - point formula
The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here, $x_1 = 7,y_1 = 0,x_2=-1,y_2 = - 7$.
Step2: Calculate x - coordinate of mid - point
$x=\frac{7+( - 1)}{2}=\frac{7 - 1}{2}=\frac{6}{2}=3$.
Step3: Calculate y - coordinate of mid - point
$y=\frac{0+( - 7)}{2}=\frac{-7}{2}=-3.5$.
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$(3,-3.5)$