Question

find the midpoint of the line segment joining the points (-1,-3) and (-3,6). the midpoint is . (simplify your answer. type an ordered pair.)

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 $x_1=-1,y_1 = - 3,x_2=-3,y_2 = 6$.

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

$x=\frac{-1+( - 3)}{2}=\frac{-1 - 3}{2}=\frac{-4}{2}=-2$.

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

$y=\frac{-3 + 6}{2}=\frac{3}{2}=1.5$.

Answer:

$(-2,1.5)$