Question

fill in the blank so that the resulting statement is true. the distance, d, between the points (x1,y1) and (x2,y2) in the rectangular coordinate system is d = ____________. the distance, d, between the points (x1,y1) and (x2,y2) in the rectangular coordinate system is d =

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ in a rectangular - coordinate system is derived from the Pythagorean theorem.

Step2: Write the formula

The formula is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Answer:

$d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$