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consider the following. (-4, 9), (5, -3) (a) plot the points. (b) find …

Question

consider the following. (-4, 9), (5, -3) (a) plot the points. (b) find the mid - point of the line segment joining the points. (x, y) = ( ) your answer cannot be understood or graded. more infor

Explanation:

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 $x_1=-4,y_1 = 9,x_2 = 5,y_2=-3$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-4 + 5}{2}=\frac{1}{2}$

Step3: Calculate y - coordinate of mid - point

$y=\frac{9+( - 3)}{2}=\frac{9 - 3}{2}=3$

Answer:

$(x,y)=(\frac{1}{2},3)$