The distance between the library and the school using the coordinates plane is 7.28 miles.
A coordinate plane is a two-dimensional plane which is formed by the intersection of two number lines - a horizontal number line called the x-axis and is a vertical number line called the y-axis. It is a graphing and description system for points and lines. On the provided coordinate plane, the coordinate of the library is (-3,3) and the coordinate of the school is (4, 1).
The distance formula between two coordinates is given by:
d =√((x2 – x1)^2 + (y2 - y1)^2)
Using the distance formula, the distance between the library and the school are:
d =√((-3 – 4)^2 + (3 - 1)^2)
d =√((-7)^2 + (2)^2)
d =√((-7)^2 + (2)^2)
d =√(49 + 4)
d =√53
d = 7.28 miles
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