Two roads that cross at right angles are used as the coordinate axes for a city map. a library is located at the point (-4.5, -2.25). how far is the library from each road?

Step-by-step explanation:

Two roads that cross at right angles are used as the coordinate axes for a city map.

This means roads are representing x and y axis on the map.

A library is located at the point ( -4.5, -2.25).

Then this point represents x-coordinate as 4.5 and y coordinate as 2.25.

This means the library is 4.5 units away from y-axis and 2.25 units away from x-axis.

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.

a is the best answer choice