Question

do you know how? $overline{pq}$ has endpoints at $p(-5,4)$ and $q(7,-5)$. 5. what is the mid - point of $overline{pq}$? 6. what are the coordinates of the point way from $p$ to $q$?

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, $x_1=-5,y_1 = 4,x_2=7,y_2=-5$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-5 + 7}{2}=\frac{2}{2}=1$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{4+( - 5)}{2}=\frac{4 - 5}{2}=-\frac{1}{2}=-0.5$.

Answer:

$(1,-0.5)$