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

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

Step-by-step 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:

$d= \sqrt{(-1-4)^2+(7-(-5))^2 }$

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

$d= \sqrt{(-5)^2+(12)^2 }$

Square the insides:

$d= \sqrt{25+144} = \sqrt{169}$

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

Answer 2

The correct answer is 13.