Question

entry ticket problems
3 problems
problem 2/3
find the mid - point, $m$, of the segment with endpoints $(-3,-1)$ and $(5,7)$.
$m = (square,square)$

Explanation:

Step1: Recall mid - point formula

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

Step2: Identify the values of $x_1,x_2,y_1,y_2$

Here $x_1=-3,y_1 = - 1,x_2=5,y_2 = 7$.

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

$x=\frac{-3 + 5}{2}=\frac{2}{2}=1$.

Step4: Calculate the y - coordinate of the mid - point

$y=\frac{-1+7}{2}=\frac{6}{2}=3$.

Answer:

$(1,3)$