what is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?

Answer:

17

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 $(x_1,y_1)=(7,8)$ and $(x_2,y_2)=(-8,0)$. Then $x_2 - x_1=-8 - 7=-15$ and $y_2 - y_1=0 - 8=-8$.

Step3: Calculate the squares

$(x_2 - x_1)^2=(-15)^2 = 225$ and $(y_2 - y_1)^2=(-8)^2 = 64$.

Step4: Sum the squares

$(x_2 - x_1)^2+(y_2 - y_1)^2=225 + 64=289$.

Step5: Take the square - root

$d=\sqrt{289}=17$.