Question

a coordinate plane can be used to show the distance, in units, between two locations. the location of jacks house and a store are listed below. jacks house is located at (-7, -8). the store is located at (-7, 4). what is the distance, in units, between jacks house and the store?

Explanation:

Step1: Identify the coordinates

The coordinates of Jack's house are $(-7,-8)$ and of the store are $(-7,4)$. The $x -$coordinates are the same ($x_1=x_2 = - 7$).

Step2: Use the distance formula for points with same x - coordinate

The distance $d$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ when $x_1 = x_2$ is $d=\vert y_2 - y_1\vert$. Here, $y_1=-8$ and $y_2 = 4$. So $d=\vert4-(-8)\vert$.

Step3: Simplify the expression

$d=\vert4 + 8\vert=\vert12\vert=12$.

Answer:

12