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1. what is the midpoint m given p(-1, 2) and q(-2, -4)? (-2, 4) (-5, 1)…

Question

  1. what is the midpoint m given p(-1, 2) and q(-2, -4)? (-2, 4) (-5, 1) (-1.5, -1) (3, -5)

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $M(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1=-1,y_1 = 2,x_2=-2,y_2=-4$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-1+( - 2)}{2}=\frac{-1 - 2}{2}=\frac{-3}{2}=-1.5$.

Step3: Calculate y - coordinate of mid - point

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

Answer:

C. (-1.5,-1)