Question

find the distance of line D
(6,2)
(9,-3)

Answer 1

To find the distance of a line segment between the points \((6, 2)\) and \((9, -3)\), you can use the distance formula. The distance \(d\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by:

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

In this case:

- \( (x_1, y_1) = (6, 2) \)
- \( (x_2, y_2) = (9, -3) \)

Now, substituting the coordinates into the formula:

\[
d = \sqrt{(9 - 6)^2 + (-3 - 2)^2}
\]

Calculating the differences:

\[
d = \sqrt{(3)^2 + (-5)^2}
\]
\[
d = \sqrt{9 + 25}
\]
\[
d = \sqrt{34}
\]

So, the distance of the line segment between the points \((6, 2)\) and \((9, -3)\) is \(\sqrt{34}\), which is approximately 5.83.