Question

find the midpoint of the line segment joining the points (10,3) and (-2,-3).
the midpoint is .
(type an ordered pair. use integers or simplified fractions for any numbers in the expression.)

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 $x_1 = 10,y_1=3,x_2=-2,y_2 = - 3$.

Step2: Calculate the x - coordinate of the mid - point

$x=\frac{10+( - 2)}{2}=\frac{10 - 2}{2}=\frac{8}{2}=4$.

Step3: Calculate the y - coordinate of the mid - point

$y=\frac{3+( - 3)}{2}=\frac{3 - 3}{2}=0$.

Answer:

$(4,0)$