Question

Calculate the distance between the points H=(-2, -5) and K=(-7, 1) in the coordinate plane.

Give an exact answer (not a decimal approximation).

Answer 1

`d=√(61)`

Explanation:

The distance is given by the expression
`d=√((\Delta x)^2+(\Delta y)^2)= √([(-2)-(-7)]^2+[(-5)-(1)]^2) = √((-2+7)^2+(-5-1)^2)=√((5)^2+(-6)^2)=√((25+36))=\sqrt {61}`