Question

1. two points are shown on a coordinate grid.

which measurement is closest to the distance between points k and l?
7 units
5 units
10 units
20 units
clear all

Explanation:

Step1: Identify coordinates of points

Point $K=(2,7)$, Point $L=(7,2)$

Step2: Apply distance formula

The distance $d$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
Substitute values: $d=\sqrt{(7-2)^2+(2-7)^2}$

Step3: Calculate differences and squares

$\sqrt{(5)^2+(-5)^2}=\sqrt{25+25}$

Step4: Simplify the expression

$\sqrt{50}\approx7.07$

Answer:

7 units