Answer:
[tex]\large \boxed{y = -\frac{8}{9}x - \frac{5}{9}}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation is
y = mx + b, where
m = the slope and
b = the y-intercept
We must solve the inequality for y.
It will then be in the slope-intercept form.
[tex]\begin{array}{rcll}8x + 9y & > & -5 & \\9y & > & -5 - 8x & \text{Subtracted 8x from each side}\\\mathbf{y} &> &\mathbf{-\frac{8}{9}x - \frac{5}{9}}& \text{Divided each side by 9}\\\end{array}\\\text{The slope-intercept form of the inequality is $\large \boxed{\mathbf{y = -\frac{8}{9}x - \frac{5}{9} }}$}[/tex]
The diagram below shows the graph of your inequality with m = -⁸/₉ and y-intercept at -⁵/₉
