Question

find the distance between the points (-5, -3) and (4, -3). distance:

Explanation:

Step1: Identify 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 $x_1=-5,y_1 = - 3,x_2 = 4,y_2=-3$.

Step2: Substitute values

Substitute the values into the formula: $d=\sqrt{(4-(-5))^2+(-3 - (-3))^2}=\sqrt{(4 + 5)^2+( - 3+3)^2}=\sqrt{9^2+0^2}$.

Step3: Calculate result

$\sqrt{9^2+0^2}=\sqrt{81+0}=\sqrt{81}=9$.

Answer:

9