Question

find the distance between the points (4, -7) and (-6, -7).

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1 = 4,y_1=-7,x_2=-6,y_2 = - 7$.

Step2: Substitute values

$d=\sqrt{(-6 - 4)^2+(-7+7)^2}=\sqrt{(-10)^2+0^2}$.

Step3: Simplify

$d=\sqrt{100}=10$.

Answer:

$10$