Question

20 POINTS! What is the distance between the points (2, 3) and (5, -4)?

Answer 1

Use the distance formula.

The distance, d, between points
`(x_1, y_1)`
and
`(x_2, y_2)` is given by the distance formula below.


`d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)`

Now we can apply the formula to your points.

Let Point 1 be (2, 3) and Point 2 be (5, -4).

Then you have


`x_1 = 2~~~~y_1 = 3~~~~x_2 = 5~~~~y_2 = -4`


`d = √((5 - 2)^2 + (-4 - 3)^2)`


`d = √((3)^2 + (-7)^2)`


`d = √(9 + 49)`


`d = √(58)`

Answer: the distance is sqrt(58)