Question

Two roads that cross at right angles are used as coordinate axes for a map. A library is

located at point L.

Use the drop-down menus to complete the statements about the location of the library.


The library is located at point (_,_).
The library is __
miles from Road X and __
miles from Road Y.

Answer 1

Part 1) The library is located at point (3.25,-1.5)

Part 2) The library is 1.5 miles from Road X

Part 3) The library is 3.25 miles from Road Y

Explanation:

step 1

Find the coordinates of the library

we know that

Observing the graph

The length of each square in the graph is 0.5 miles

so

The coordinates of point L are (3.25,-1.5)

therefore

The library is located at point (3.25,-1.5)

step 2

Find the distance of the library from road X

we know that

The distance of point L from road X is the perpendicular distance of point L to the Road X

The perpendicular distance is the absolute value of the y-coordinate of point L

therefore

The library is 1.5 miles from Road X

step 3

Find the distance of the library from road Y

we know that

The distance of point L from road Y is the perpendicular distance of point L to the Road Y

The perpendicular distance is the absolute value of the x-coordinate of point L

therefore

The library is 3.25 miles from Road Y