Question

What is the distance between the points (-6,2) and (6,7)

Answer 1

Answer: Distance = 13 units

Given the points

A = (-6, 2) and B = (6, 7)

From the points, let x1 = -6, y1 = 2, x2 = 6 and y2 = 7

`\begin{gathered} \text{Distance = }\sqrt[]{(x1-x2)^2+(y1-y2)^2} \\ \text{Distance = }\sqrt[]{(-6-6)^2+(2-7)^2} \\ \text{Distance = }\sqrt[]{(-12)^2+(5)^2} \\ \text{Distance = }\sqrt[]{144\text{ + 25}} \\ \text{Distance = }\sqrt[]{169} \\ \text{Distance = 13 units} \end{gathered}`