Question

What is the distance between (-1,5) and (2,9)

Answer 1

5 units

Explanation:

To find the distance between two points on a graph, we use the distance formula
`d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2` where
`d` is the distance between points
`(x_1,y_1)` and
`(x_2,y_2)`.

For this problem, we will identify
`(x_1,y_1)\rightarrow(-1,5)` and
`(x_2,y_2)\rightarrow(2,9)`:

`d=√((y_2-y_1)^2+(x_2-x_1)^2)\\\\d=√((9-5)^2+(2-(-1))^2)\\\\d=√((4)^2+(3)^2)\\\\d=√(16+9)\\\\d=√(25)\\\\d=5`

Therefore, the distance between
`(-1,5)` and
`(2,9)` is 5 units