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.

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Now we can apply the formula to your points.

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

Then you have

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

$d = \sqrt{(5 - 2)^2 + (-4 - 3)^2}$

$d = \sqrt{(3)^2 + (-7)^2}$

$d = \sqrt{9 + 49}$

$d = \sqrt{58}$

Answer: the distance is sqrt(58)