.2 Find the slope from two points

Question

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Find the slope of the line that passes through (2, 2) and (6, 7).

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

Answer 1

To find the slope of the line passing through the points \((2, 2)\) and \((6, 7)\), you can use the formula for the slope \(m\):

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

Where \((x_1, y_1) = (2, 2)\) and \((x_2, y_2) = (6, 7)\).

Substituting in the values:

\[ m = \frac{7 - 2}{6 - 2} = \frac{5}{4} \]

So, the slope of the line is \(\frac{5}{4}\).