Question

given the segment on the graph, determine the end points of the segment then find the midpoint.
(x1,y1)=( )
(x2,y2)=( )
m=( )

Explanation:

Step1: Identify first endpoint

By observing the graph, the first endpoint $(x_1,y_1)$ is $(-3,-4)$.

Step2: Identify second endpoint

By observing the graph, the second endpoint $(x_2,y_2)$ is $(-2,3)$.

Step3: Calculate mid - point formula

The mid - point formula is $M=(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Substitute $x_1=-3,x_2=-2,y_1=-4,y_2 = 3$ into the formula.
For the $x$ - coordinate of the mid - point: $\frac{-3+( - 2)}{2}=\frac{-3 - 2}{2}=\frac{-5}{2}=-2.5$.
For the $y$ - coordinate of the mid - point: $\frac{-4 + 3}{2}=\frac{-1}{2}=-0.5$.

Answer:

$(x_1,y_1)=(-3,-4)$
$(x_2,y_2)=(-2,3)$
$M=(-2.5,-0.5)$