Question

Find the distance between the points (5, 3) and (7,6).

Answer 1

`d = √(13)`

Explanation:

Use the Distance Formula to help you determine the distance between the two following points:

-Distance Formula:

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

(where
`(x_(1), y_(1))` represents the first point and
`(x_(2), y_(2))` represents the second point)

-Apply the two following points onto that equation:

`d = √((7 - 5)^2 + (6 - 3)^2)`

`(x_(1), y_(1)) = (5, 3)`

`(x_(2), y_(2)) = (7, 6)`

-Solve the equation:

`d = √((7 - 5)^2 + (6 - 3)^2)`

`d = √(2^2 + 3^2)`

`d = √(4 + 9)`

`d = √(13)`

So therefore, the distance is
`√(13)`.