Find the slope of the line that passes through (1, 7) and (10, 3).

Question

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 \((1, 7)\) and \((10, 3)\), we can use the slope formula:

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

where \((x_1, y_1) = (1, 7)\) and \((x_2, y_2) = (10, 3)\).

Substituting the values into the formula, we get:

\[ m = \frac{3 - 7}{10 - 1} \]

Calculating the differences:

\[ m = \frac{-4}{9} \]

Thus, the slope of the line that passes through the points \((1, 7)\) and \((10, 3)\) is

\[ \boxed{-\frac{4}{9}}. \]