Question

morning before school they walk in a straight line to a meeting point exactly halfway between their houses, so they can walk to school together. their route is plotted on the cartesian plane below, with carlas house at (-14,11) and jenns house at (8,-3). what is the location of the meeting point halfway between their houses?

Explanation:

Step1: Recall mid - point formula

The mid - point formula between 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, $x_1=-14,y_1 = 11,x_2 = 8,y_2=-3$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-14 + 8}{2}=\frac{-6}{2}=-3$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{11+( - 3)}{2}=\frac{11 - 3}{2}=\frac{8}{2}=4$.

Answer:

$(-3,4)$