Find the slope from two points

Question

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Find the slope of the line that passes through (1, 1) and (9, 4).

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 \((1, 1)\) and \((9, 4)\), you can use the slope formula:

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

Here, \((x_1, y_1) = (1, 1)\) and \((x_2, y_2) = (9, 4)\).

Now, plug in the values:

\[ m = \frac{4 - 1}{9 - 1} = \frac{3}{8} \]

So, the slope of the line that passes through the points \((1, 1)\) and \((9, 4)\) is:

\[ \frac{3}{8} \]