Find the slope of the line that passes through (2, 3) and (10, 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 \((2, 3)\) and \((10, 10)\), we use the formula for the slope \(m\):

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

Here, \((x_1, y_1) = (2, 3)\) and \((x_2, y_2) = (10, 10)\).

Substituting the points into the formula:

\[ m = \frac{10 - 3}{10 - 2} \]

Calculating the differences:

\[ m = \frac{7}{8} \]

Thus, the slope of the line that passes through the points \((2, 3)\) and \((10, 10)\) is

\[ \boxed{\frac{7}{8}}. \]