Question

On the coordinate grid of a map Josie‘s house is located at (2,7) her school is located at (-5,5) if each map unit equals one mile what is the approximate distance from her house to school

Answer 1

$A=(2,7)\qquad\qquad B=(-5,5)\\\\\\d(A,B)=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}=\sqrt{(-5-2)^2+(5-7)^2}=\\\\=\sqrt{(-7)^2+(-2)^2}=\sqrt{49+4}=\sqrt{53}\approx\boxed{7.28 \text{ miles}}$

Answer 2

It would be the the square root of 53 which comes out to approximately 7.28 miles. You use the distance formula which is the square root of (x2-x1)^2+(y2-y1)^2