Question

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

Explanation:

Step1: Identify the distance formula

For two points $(x_1,y_1)$ and $(x_2,y_2)$, the distance $d$ is given by $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here $x_1=-4,y_1 = - 5,x_2=-4,y_2 = 3$.

Step2: Substitute the values

Since $x_1=x_2=-4$, the formula simplifies to $d=\sqrt{(-4 + 4)^2+(3+5)^2}=\sqrt{0+(8)^2}$.

Step3: Calculate the result

$\sqrt{0 + 64}=\sqrt{64}=8$.

Answer:

8