Recall that to determine the slope of a line that passes through the points (x,y) and (z,k) we can use the following formula:
[tex]m=\frac{y-k}{x-z}\text{.}[/tex]
Now, notice that the given line passes through (0,3) and (4,4), therefore:
[tex]m=\frac{3-4}{0-4}=\frac{-1}{-4}=\frac{1}{4}.[/tex]
Answer:
[tex]m=\frac{1}{4}\text{.}[/tex]
