Question

Find the distance between each pair of points. A(6, 8), B(−1, 8)

Answer 1

Concept:

The formula to calculate the distance between two points is given below as

`d=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2}`

The coordinates given in the question are

`\begin{gathered} (x_1,y_1)\Rightarrow(6,8) \\ (x_2,y_2)\Rightarrow(-1,8) \end{gathered}`

By substituting the values in the formula above, we will have

`\begin{gathered} d=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2} \\ d=\sqrt[]{(8-8)^2+(-1-6)^2} \\ d=\sqrt[]{0^2+(-7)^2} \\ d=\sqrt[]{0+49} \\ d=\sqrt[]{49} \\ d=7 \end{gathered}`

Hence,

The distance = 7 units