Question

midpoint of two points
activity #9
the endpoints of $overline{cd}$ are $c(-4,3)$ and $d(-6,5)$. find the coordinates of the midpoint $m$.
midpoint formula: $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$

Explanation:

Step1: Identify the coordinates

Let $(x_1,y_1)=(-4,3)$ and $(x_2,y_2)=(-6,5)$.

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

Use the mid - point formula for the x - coordinate $x=\frac{x_1 + x_2}{2}$. Substitute $x_1=-4$ and $x_2=-6$: $x=\frac{-4+( - 6)}{2}=\frac{-4 - 6}{2}=\frac{-10}{2}=-5$.

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

Use the mid - point formula for the y - coordinate $y=\frac{y_1 + y_2}{2}$. Substitute $y_1 = 3$ and $y_2=5$: $y=\frac{3 + 5}{2}=\frac{8}{2}=4$.

Answer:

$(-5,4)$