The slope-intercept form is given by the equation y = m x + b
11x + 16y = 9
Let's rewrite the equation 11x + 16y = 9 so that it looks exactly like the slope-intercept form, we have:
[tex]\begin{gathered} 11x+16y=9\Rightarrow16y=-11x-9 \\ 16y=-11x-9 \\ \text{Make y the subject of the equation by dvide each element by 16:} \\ y=-\frac{11}{16}x-\frac{9}{16} \end{gathered}[/tex]