Question

City planners are creating a neighborhood map on a coordinate grid. The library is located at (-4,-6). The School is located at (5, -6). In this coordinate grid, the distance between each gridlinerepresents 1 mile. What is the distance, in miles, between the library and the school on the grid?Explain how you figured this out.

Answer 1

Given:

Let A(-4,-6) and B(5,-6)

`\text{Distance between two points=}\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`
`\text{Distance between two points=}\sqrt[]{(5+4)^2+(-6+6)^2}`
`\text{Distance between two points=}\sqrt[]{(9)^2}`
`\text{Distance between two points}=9\text{ units }`

Given that 1 gridline = 1 mile

Distance betweet the library and school =9 miles