Question

lesson 4 homework
drag the point m below to the mid - point of the points (-7,4) and (0, - 5), shown below.
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, $x_1=-7,y_1 = 4,x_2 = 0,y_2=-5$.

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

$x=\frac{-7 + 0}{2}=-\frac{7}{2}=-3.5$.

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

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

Answer:

The mid - point is $(-3.5,-0.5)$