To find the midpoint between the two points (-4, -7) and (2, -2), you need to calculate the average of the x-coordinates and the average of the y-coordinates.
First, let's find the x-coordinate of the midpoint.
The x-coordinates of the given points are -4 and 2. To find the midpoint's x-coordinate, add these two values together and then divide by 2:
[tex]\[
x_{\text{mid}} = \frac{-4 + 2}{2} = \frac{-2}{2} = -1.0
\][/tex]
Now, let's find the y-coordinate of the midpoint.
The y-coordinates of the given points are -7 and -2. To find the midpoint's y-coordinate, add these two values together and then divide by 2:
[tex]\[
y_{\text{mid}} = \frac{-7 + (-2)}{2} = \frac{-9}{2} = -4.5
\][/tex]
Therefore, the midpoint of the points (-4, -7) and (2, -2) is:
x-coordinate: -1.0 (rounded to the nearest tenth)
y-coordinate: -4.5 (rounded to the nearest tenth)
