Question

City planners are creating a neighborhood map on a coordinate grid. the table shoes the locations of the neighborhood library and school on a coordinate grid. in this coordinate grid, the distance between each grid line represents 1 mileHow many miles apart the library and the school

Answer 1

The library and the school are 9 miles apart

Here, we want to get the value of the distance between the library and the school

To do this, we shall be using the distance formula

We will incorporate the coordinates into the distance formula

We have this as;

`\begin{gathered} D\text{ = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ \\ (x_1,y_1)\text{ = (-4,-6)} \\ (x_2,y_2)\text{ = (5,-6)} \\ \\ D\text{ = }\sqrt[]{(5-(-4))^2+(-6+6)^2} \\ \\ D\text{ = }\sqrt[]{9^2} \\ \\ D\text{ = 9 miles} \end{gathered}`