Question

question
find the midpoint of the segment with the following endpoints.
(5, 7) and (-3, 10)

Explanation:

Step1: Recall mid - point formula

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

Step2: Identify the values of $x_1,x_2,y_1,y_2$

Here $x_1 = 5$, $x_2=-3$, $y_1 = 7$, $y_2 = 10$.

Step3: Calculate the x - coordinate of the mid - point

$\frac{x_1+x_2}{2}=\frac{5+( - 3)}{2}=\frac{5 - 3}{2}=\frac{2}{2}=1$.

Step4: Calculate the y - coordinate of the mid - point

$\frac{y_1 + y_2}{2}=\frac{7 + 10}{2}=\frac{17}{2}$.

Answer:

$(1,\frac{17}{2})$