Question

1. if point a is at (2,3) and point b is at (5,7), what is the distance between point a and point b?

a. 5
b. 6
c. 7
d. 4

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Step2: Identify coordinates

Here $x_1 = 2,y_1 = 3,x_2 = 5,y_2 = 7$.

Step3: Substitute values

$d=\sqrt{(5 - 2)^2+(7 - 3)^2}=\sqrt{3^2+4^2}=\sqrt{9 + 16}=\sqrt{25}$.

Step4: Calculate result

$\sqrt{25}=5$.

Answer:

A. 5