what is the distance between (-6, 2) and (8, 10) on a coordinate grid?\n√60\n√68\n√162\n√260

Answer:

D. $\sqrt{260}$

Explanation:

Step1: Identify the 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: Assign the values of the points

Let $(x_1,y_1)=(-6,2)$ and $(x_2,y_2)=(8,10)$. Then $x_2 - x_1=8-(-6)=14$ and $y_2 - y_1=10 - 2 = 8$.

Step3: Substitute into the formula

$d=\sqrt{(14)^2+(8)^2}=\sqrt{196 + 64}=\sqrt{260}$.