Question

What is the distance between (6, 2) and (-3, -2)?935

Answer 1

The distance between two points can be calculated with the formula below

`\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ \text{Where } \\ (x_1,y_1)\text{ is the coordinate of the first point} \\ (x_2,y_2)\text{ is the coordinate of the second point} \end{gathered}`

For this question,

`\begin{gathered} (x_1,y_1)\text{ =}(6,2_{}) \\ (x_2,y_2)\text{ = (-3, -2)} \end{gathered}`
`\begin{gathered} d\text{ = }\sqrt[]{(-3-6)^2+(-2-2)^2} \\ d=\sqrt[]{(-9)^2+(-4)^2} \\ d=\sqrt[]{81+16} \\ d=\sqrt[]{97} \\ \\ \text{Hence, the distance between (6,2) and (-3, -2) is }\sqrt[]{97} \end{gathered}`