Question

find the distance between the points (-4, -3) and (5, -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, $(x_1,y_1)=(-4,-3)$ and $(x_2,y_2)=(5,-3)$.

Step2: Substitute values

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

Step3: Calculate result

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

Answer:

9