Question

find the distance between (-2,-3) and (-2,4).

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, $x_1=-2,y_1 = - 3,x_2=-2,y_2 = 4$.

Step2: Substitute values

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

Step3: Simplify

Calculate $(0)^2+(4 + 3)^2=0 + 49=49$. Then $\sqrt{49}=7$.

Answer:

7