Question

For each pair of points, find the slope of the line that passes through the points.
(5,4) and (0,1)

Answer 1

To find the slope \( m \) of the line that passes through the points \( (x_1, y_1) = (5, 4) \) and \( (x_2, y_2) = (0, 1) \), you can use the formula for the slope:

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

Substituting the coordinates into the formula:

\[
m = \frac{1 - 4}{0 - 5} = \frac{-3}{-5} = \frac{3}{5}
\]

Thus, the slope of the line that passes through the points \( (5,4) \) and \( (0,1) \) is \( \frac{3}{5} \).