Question

find the distance from (-6,-6) to the line defined by y=-2x-3

Answer 1

Herethe y-intercept of the line y=-2x-3
is -3
therfore it is (0,-3)
\[\sqrt{(-6-0)^{2 } +(-6+3)^{2}}\]
\[\sqrt{36+9}=\sqrt{45}=3\sqrt{5}\]