Question

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

Explanation:

Step1: Identify the coordinates

Let \((x_1,y_1)=(7,8)\) and \((x_2,y_2)=(-8,0)\)

Step2: Use the distance formula

The distance formula is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)
Substitute the values: \(d=\sqrt{(-8 - 7)^2+(0 - 8)^2}\)

Step3: Simplify the expression inside the square root

\(-8-7=-15\), \(0 - 8=-8\)
\((-15)^2=225\), \((-8)^2 = 64\)
\(d=\sqrt{225 + 64}=\sqrt{289}\)

Step4: Calculate the square root

\(\sqrt{289}=17\)

Answer:

\(17\)