The slope-intercept form of the line is given by:
[tex]y=mx+b[/tex]
Where:
m = slope
b = y-intercept
So, we need to solve the equation for y:
[tex]\begin{gathered} 2x+3y=8 \\ 3y=8-2x \\ y=\frac{8}{3}-\frac{2}{3}x \end{gathered}[/tex]
Now, we can evaluate the equation for some points, and graph it:
