To determine which function has a more negative slope we have to calculate the slope of line h, with the following expression and two points given in the graph:
(0, 4) (4, 0)
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{0-4}{4-0} \\ m=-\frac{4}{4}=-1 \end{gathered}[/tex]The slope of line h is -1, and for function 1 we know that the slope-intercept form is given by:
y=mx+b
where, m is the slope of the line, so in this case the slope is -2.
So, the slope of function 1, -2 is more negative than function 2 (line h).