Question

In the standard $(x,y)$ coordinate plane, what are the coordinates of the midpoint of a line segment whose endpoints are $(-3,0)$ amd $(7,4)$?

• A. $(2,2)$
• B. $(2,3)$
• C. $(5,2)$
• D. $(5,4)$

Answer 1

The correct option is A $(2,2)$

Given two points $(x_1,y_1)$ and $(x_2,y_2)$, then the coordinates of the midpoint are $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$.
In the above case the points are $(-3,0)$ and $(7,4)$.

Hence, the midpoint is $(\frac{-3+7}{2},\frac{0+4}{2})=(2,2)$.