Question

What is the distance between (5,7) and (11,-1)

Answer 1

10 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(5,7)` and
`(x_2,y_2)\rightarrow(11,-1)`:

`d=√((y_2-y_1)^2+(x_2-x_1)^2)\\\\d=√((-1-7)^2+(11-5)^2)\\\\d=√((-8)^2+(6)^2)\\\\d=√(64+36)\\\\d=√(100)\\\\d=10`

Therefore, the distance between
`(5,7)` and
`(11,-1)` is 10 units