W.2 Find the slope from two points

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Find the slope of the line that passes through (6, 11) and (10, 6).

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

1 answer

To find the slope \( m \) of the line that passes through the points \((x_1, y_1) = (6, 11)\) and \((x_2, y_2) = (10, 6)\), you can use the formula:

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

Substituting the given points into the formula:

\[ m = \frac{6 - 11}{10 - 6} \]

Calculating the differences:

\[ m = \frac{-5}{4} \]

Therefore, the slope of the line is:

\[ \text{slope} = -\frac{5}{4} \]