Question

Find the distance between 2 points. (-1,1), (7,4)

Answer 1

√73 or 8.54 units

Explanation:

Given two points:

`\begin{gathered} (x_1,y_1)=(-1,1) \\ \left(x_2,y_2\right)=\left(7,4\right) \end{gathered}`

To find the distance between the two points, we use the distance formula given below:

`$$Distance=√((x_2-x_1)^2+(y_2-y_1)^2) $$`

Substitute the values into the formula:

`\begin{gathered} Distance=√((7-(-1))^2+(4-1)^2) \\ =√((7+1)^2+(3)^2) \\ =√((8)^2+(3)^2) \\ =√(64+9) \\ =√(73) \\ \approx8.54\text{ units} \end{gathered}`

The distance between the two points is √73 or 8.54 units (correct to 2 decimal places).