Question

the endpoints of $overline{ab}$ are $a(2,5)$ and $b(-1,7)$. find the coordinates of the midpoint.
a. $(3, - 1)$
b. $(-2,12)$
c. $(-1,6)$
d. $(3,6)$

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1=2,y_1 = 5,x_2=-1,y_2 = 7$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{2+( - 1)}{2}=\frac{2 - 1}{2}=\frac{1}{2}=0.5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{5 + 7}{2}=\frac{12}{2}=6$.

Answer:

None of the above options are correct. The mid - point is $(0.5,6)$.