Question

what is the distance between (8, -3) and (4, -7)? choose 1 answer: a 6 b 9 c √32 d √42

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, $x_1 = 8,y_1=-3,x_2 = 4,y_2=-7$.

Step2: Calculate differences

$x_2 - x_1=4 - 8=-4$ and $y_2 - y_1=-7-( - 3)=-7 + 3=-4$.

Step3: Substitute into formula

$d=\sqrt{(-4)^2+(-4)^2}=\sqrt{16 + 16}=\sqrt{32}$.

Answer:

C. $\sqrt{32}$