Question

q: what is the distance between the points (1, 2) and (4, 6) on a coordinate plane?
a. 4
b. 5
c. 6
d. 7

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 $x_1 = 1,y_1 = 2,x_2 = 4,y_2 = 6$.

Step3: Substitute values

$d=\sqrt{(4 - 1)^2+(6 - 2)^2}=\sqrt{3^2+4^2}=\sqrt{9 + 16}=\sqrt{25}$.

Step4: Calculate result

$\sqrt{25}=5$.

Answer:

B. 5