Find the slope of the line that passes through 3,2 and 5,7.

Answer 1

To find the slope of the line that passes through the points (3, 2) and (5, 7), we can use the formula for the slope \( m \):

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

Here, \( (x_1, y_1) = (3, 2) \) and \( (x_2, y_2) = (5, 7) \).

Now, substituting in the values:

\[ m = \frac{7 - 2}{5 - 3} \]

This simplifies to:

\[ m = \frac{5}{2} \]

Therefore, the slope of the line that passes through the points (3, 2) and (5, 7) is \( \frac{5}{2} \).