Question

point j (-4, -0) and point k (4, 4) are located on a coordinate grid. which measurement is closest to the distance between point j and point k in units? a 13 units b 9 units c 18 units d 8 units

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1=-4,y_1 = 0,x_2 = 4,y_2=4$.

Step2: Substitute values

$d=\sqrt{(4-(-4))^2+(4 - 0)^2}=\sqrt{(4 + 4)^2+4^2}=\sqrt{8^2+4^2}=\sqrt{64 + 16}=\sqrt{80}$.

Step3: Simplify square - root

$\sqrt{80}=\sqrt{16\times5}=4\sqrt{5}\approx4\times2.24 = 8.96\approx9$.

Answer:

B. 9 units