We have to find the slope of a line that is parallel to another line that crosses (2, 4) and has y-intercept (0, -1).
All parallel lines have the same slope, so we can just calculate the slope of the line that crosses through (2,4) and (0,-1).
We then can calculate the slope as:
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-1-4}{0-2}=\frac{-5}{-2}=2.5 \end{gathered}[/tex]Answer: the slope is m = 2.5 or 5/2.
