Find the slope of the line that passes through (2, 7) 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 \((2, 7)\) and \((9, 10)\), we can use the slope formula:

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

Where \((x_1, y_1) = (2, 7)\) and \((x_2, y_2) = (9, 10)\).

Substituting in the values:

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

Calculating the numerator and the denominator:

\[ m = \frac{3}{7} \]

Thus, the slope of the line is

\[ \boxed{\frac{3}{7}} \]