Question

Find the distance
(2,4) (-3,3)

Answer 1

To find the distance between the points \((2, 4)\) and \((-3, 3)\), we can use the distance formula given by:

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

Here, \((x_1, y_1) = (2, 4)\) and \((x_2, y_2) = (-3, 3)\).

Now, we can plug in the values:

\[
d = \sqrt{((-3) - 2)^2 + (3 - 4)^2}
\]
\[
= \sqrt{(-5)^2 + (-1)^2}
\]
\[
= \sqrt{25 + 1}
\]
\[
= \sqrt{26}
\]

Thus, the distance between the points \((2, 4)\) and \((-3, 3)\) is \(\sqrt{26}\), which is approximately \(5.10\) when computed numerically.