Question

find the midpoint of the segment connecting the points (4, 7) and (-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 $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$.

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

Here $x_1 = 4,y_1=7,x_2=-3,y_2 = - 5$.

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

$\frac{x_1 + x_2}{2}=\frac{4+( - 3)}{2}=\frac{4 - 3}{2}=\frac{1}{2}$.

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

$\frac{y_1 + y_2}{2}=\frac{7+( - 5)}{2}=\frac{7 - 5}{2}=1$.

Answer:

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