Question

find the midpoint of the line segment joining the points (-3, -3) and (-7,14). the midpoint is $left(-6,\frac{2}{11}
ight)$ (simplify your answer. type an ordered pair.)

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 $x_1,y_1,x_2,y_2$

Here $x_1=-3,y_1 = - 3,x_2=-7,y_2 = 14$.

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

$\frac{x_1 + x_2}{2}=\frac{-3+( - 7)}{2}=\frac{-3 - 7}{2}=\frac{-10}{2}=-5$.

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

$\frac{y_1 + y_2}{2}=\frac{-3 + 14}{2}=\frac{11}{2}$.

Answer:

$(-5,\frac{11}{2})$