Question

What is the difference between the points `(1, 3)` and `(5,6)`?

Answer 1

5

Explanation:

The distance formula, which is derived from the Pythagorean theorem, can be used to find the distance between two points:

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

If we let `(1,3)` be Point 1 and `(5,6)` be Point 2, we can substitute the x and y-coordinates for each point into the distance formula:

`D = sqrt(((5)-(1))^{2} + ((6)-(3))^{2})`

Then simplify to solve for the distance (D):

`D = sqrt((4)^{2} + (3)^{2})`
`D = sqrt(16 + 9)`
`D = sqrt(25)`
`D = 5`