Question

Find the distance between the two points. (4, -5) (-1,7).

Anybody know the answer and would mind giving me the steps?

Answer 1

The correct answer is 13.

Answer 2

Answer: Yes. The distance between the two points is 13 units.

Explanation:

In order to find the distance between two points, we use a formula called the distance formula, which is:

`d= \sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }`

In this case, we have to two pairs of coordinates,
`(4,-5), (-1,7)`

From these two pairs of coordinates, we can say that
`x_(2) =-1, x_(1) =4, y_(2) =7,y_(1) =-5`

So we plug them into the distance formula equation:

`d= √((-1-4)^2+(7-(-5))^2 )`

Simplify the expression with the ones that are inside the parentheses:

`d= √((-5)^2+(12)^2 )`

Square the insides:

`d= √(25+144) = √(169)`

The square root of 169 is 13, so that's your final answer.