Find the slope of the line that passes through (2, 1) and (9, 10).

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 \((2, 1)\) and \((9, 10)\), we can use the slope formula:

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

where \((x_1, y_1) = (2, 1)\) and \((x_2, y_2) = (9, 10)\).

Substituting the values into the formula:

\[ m = \frac{10 - 1}{9 - 2} \] \[ m = \frac{9}{7} \]

Therefore, the slope of the line that passes through the points \((2, 1)\) and \((9, 10)\) is

\[ \frac{9}{7}. \]