The equation for the graph is given as
[tex]24x-4y=50[/tex]
Let us rearrange the equation into its Slope-Intercept form given as
[tex]y=mx+c[/tex]
Where
m = rate of change
c = y-intercept
Therefore, we will have
[tex]-4y=-24x+50[/tex]
Divide all terms by -4 to make y a standalone variable:
[tex]\begin{gathered} \frac{-4y}{-4}=\frac{-24x}{-4}+\frac{50}{(-4)} \\ y=6x-\frac{25}{2} \end{gathered}[/tex]
Comparing with the Slope-Intercept equation, the rate of change is given as 6.
