Question

table of contents > lesson 4: graph equations in two variables > graded activities > lesson 4 homework
lesson 4 homework
current objective
use the midpoint formula
question
find the midpoint of the line segment with endpoints (-15, -8) and (9, -11).
provide your answer below.

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, $x_1=-15,y_1 = - 8,x_2=9,y_2=-11$.

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

$x=\frac{-15 + 9}{2}=\frac{-6}{2}=-3$.

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

$y=\frac{-8+( - 11)}{2}=\frac{-8 - 11}{2}=\frac{-19}{2}=-9.5$.

Answer:

$(-3,-9.5)$