Answer:
[tex](-2, -1.5)[/tex]
x-coordinate:-2
y-coordinate:-1.5
Step-by-step explanation:
You need to use this formula to find the coordinates of the midpoint:
[tex]M=(\frac{x_A+x_B}{2},\frac{y_A+y_B}{2})[/tex]
In this case, given the points (3, -5) and (-7, 2), you can identify that:
[tex]x_A=3\\x_B=-7\\y_A=-5\\y_B=2[/tex]
Therefore, you need to substitute these values into the formula [tex]M=(\frac{x_A+x_B}{2},\frac{y_A+y_B}{2})[/tex]. Then you get that the coordinates of this midpoint are:
[tex]M=(\frac{3+(-7)}{2},\frac{-5+2}{2})[/tex]
[tex]M=(\frac{3-7}{2},\frac{-5+2}{2})[/tex]
[tex]M=(-2, -1.5)[/tex]
