Change the equation 5x-9y+8=0 into an equivalent equation written in the slope-intercept form.

Answer:
[tex]y=\frac{5}{9}x+\frac{8}{9}[/tex]Explanation:
The slope-intercept form of the equation of a line is given as:
[tex]y=mx+b[/tex]Given the line: 5x-9y+8=0
We make y the subject.
[tex]\begin{gathered} 5x-9y+8=0 \\ 9y=5x+8 \\ y=\frac{5}{9}x+\frac{8}{9} \end{gathered}[/tex]The slope-intercept form of the line is:
[tex]y=\frac{5}{9}x+\frac{8}{9}[/tex]