Whenever the question asks us for the midpoint of something, that signals to us that we need to use the midpoint formula, which is [tex]M = ( \frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )[/tex]. Here, we are given two coordinates - [tex](4, -7)[/tex] and [tex](-3, 5)[/tex]. All we have to do is locate the values of [tex]x_1,x_2,y_1,y_2[/tex], and plug it back into the midpoint formula.
[tex]x_1 = 4[/tex]
[tex]x_2 = -3[/tex]
[tex]y_1 = -7[/tex]
[tex]y_2 = 5[/tex]
When we plug all the values back into the midpoint formula, we get [tex]M = ( \frac{4-3}{2} , \frac{-7+5}{2} )[/tex]. When we simplify, we get that the midpoint of segment [tex]RS[/tex] is [tex]\boxed{(\frac{1}{2}.-1)}[/tex]. Hope this helped!
