W.2 Find the slope from two points

Question

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Find the slope of the line that passes through (10, 9) and (1, 10).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer 1

To find the slope of the line that passes through the points \((10, 9)\) and \((1, 10)\), we use the slope formula:

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

Here, \((x_1, y_1) = (10, 9)\) and \((x_2, y_2) = (1, 10)\).

Now, we can plug in the values:

\[ m = \frac{10 - 9}{1 - 10} = \frac{1}{-9} = -\frac{1}{9} \]

Thus, the slope of the line is:

\[ \boxed{-\frac{1}{9}} \]