Question

Find the distance between the points: (-6,-4) and (1,-2)

Answer 1

Answer:

$Distance=\sqrt{53}$

Step-by-step explanation:

The Distance between two points in coordinate geometry can be found by using the distance formula:

For two points  $(x_1,y_1)$ and $(x_2,y_2)$

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Putting the coordinates in the formula:

For points:

         $(x_1,y_1)=( -6,-4)$

        $(x_2,y_2)=(1,-2)$

    $Distance=\sqrt{(1-(-6))^2+(-2-(-4))^2} \\\\=\sqrt{(1+6)^2+(-2+4)^2} \\\\=\sqrt{7^2+2^2} \\\\=\sqrt{49+4} \\\\Distance=\sqrt{53}$