Question

find the distance between the points (7, 5) and (7, - 3). distance:

Explanation:

Step1: Identify the 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 $x_1 = 7,y_1 = 5,x_2 = 7,y_2=-3$.

Step2: Substitute the values

Substitute into the formula: $d=\sqrt{(7 - 7)^2+(-3 - 5)^2}=\sqrt{0+( - 8)^2}$.

Step3: Simplify the expression

$\sqrt{0+( - 8)^2}=\sqrt{0 + 64}=\sqrt{64}=8$.

Answer:

8