(1, 2)
Step-by-step explanation:
Hi there!
We are given two points - (4, 7) and (-2, -3)
We want to find the midpoint between these two points
The midpoint can be found using the formula [tex](\frac{x_1 + x_2}{2}, \frac{y_1+y_2}{2})[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything we need to find the midpoint, but let's label the values of the points to avoid any confusion & mistakes
[tex]x_1=4\\y_1=7\\x_2=-2\\y_2=-3[/tex]
Now substitute into the formula
[tex](\frac{x_1 + x_2}{2}, \frac{y_1+y_2}{2})[/tex]
[tex](\frac{4+ -2 }{2}, \frac{7+-3}{2})[/tex]
The pluses can be replaced with minus signs:
[tex](\frac{4 -2 }{2}, \frac{7-3}{2})[/tex]
Now subtract
[tex](\frac{2 }{2}, \frac{4}{2})[/tex]
Divide
(1,2)
The midpoint is (1, 2)
Hope this helps!