Question

given a (8, 5) and b (6, -3), which of the following is the correct setup to find the distance between these two points?
a ab = \sqrt{(6 - 8)^2+( - 3 - 5)^2}
b ab = \sqrt{(-6-(-8))^2+(3 - (-5))^2}
c ab = \sqrt{(6 - 5)^2+( - 3 - 8)^2}
d ab = \sqrt{(5 - 6)^2+(8 - (-3))^2}

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Given $A(8,5)$ and $B(6, - 3)$, here $x_1 = 8,y_1=5,x_2 = 6,y_2=-3$.

Step2: Substitute values

Substitute the values into the formula: $AB=\sqrt{(6 - 8)^2+(-3 - 5)^2}=\sqrt{(-2)^2+(-8)^2}=\sqrt{(6 - 8)^2+(-3 - 5)^2}$.

Answer:

A. $AB=\sqrt{(6 - 8)^2+(-3 - 5)^2}$