Question

Give that a line contains the points (10,15) and (15, 13), find the slope of that line using whatever method you want.

Answer 1

To find the slope of the line that passes through the points \((10, 15)\) and \((15, 13)\), we can use the formula for the slope \(m\) between two points \((x_1, y_1)\) and \((x_2, y_2)\):

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Here, we can assign:

- \((x_1, y_1) = (10, 15)\)
- \((x_2, y_2) = (15, 13)\)

Now substituting these values into the slope formula:

\[
m = \frac{13 - 15}{15 - 10}
\]
\[
m = \frac{-2}{5}
\]

Thus, the slope of the line that passes through the points \((10, 15)\) and \((15, 13)\) is \(-\frac{2}{5}\).