Question

the endpoints of \\(\overline{gh}\\) are \\(g(-7,3)\\) and \\(h(1,-2)\\). what is the midpoint of \\(\overline{gh}\\)?\
\\(\bigcirc\\) a. \\(\left(-3, \frac{1}{2}\
ight)\\)\
\\(\bigcirc\\) b. \\(\left(4, \frac{5}{2}\
ight)\\)\
\\(\bigcirc\\) c. \\((9, -7)\\)\
\\(\bigcirc\\) d. \\((-6, -1)\\)

Explanation:

Step1: Use the midpoint formula

The midpoint formula is \((\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})\). Here \(x_1=-7,y_1 = 3,x_2=1,y_2=-2\).

Step2: Calculate the x - coordinate of the midpoint

\(\frac{-7 + 1}{2}=\frac{-6}{2}=-3\)

Step3: Calculate the y - coordinate of the midpoint

\(\frac{3+( - 2)}{2}=\frac{3 - 2}{2}=\frac{1}{2}\)

Answer:

A. \((-3,\frac{1}{2})\)