Question

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

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

Step2: Calculate the differences

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

Step3: Substitute into the formula

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

Answer:

C. $\sqrt{32}$