Answer :
Solution:
Given:
[tex]3x+5y=-2[/tex]This is a linear equation.
It could be written in other forms as;
1) Slope-intercept form
[tex]\begin{gathered} y=mx+b \\ \\ \text{Hence,} \\ 3x+5y=-2 \\ \text{Making y the subject of the formula,} \\ 5y=-3x-2 \\ \text{Dividing both sides by 5,} \\ y=-\frac{3}{5}x-\frac{2}{5} \end{gathered}[/tex]Hence, in slope-intercept form, the equation can be written as;
[tex]y=-\frac{3}{5}x-\frac{2}{5}[/tex]2) The equation could also be written taking all terms to one side and equating to zero,
[tex]\begin{gathered} 3x+5y=-2 \\ 3x+5y+2=0 \end{gathered}[/tex]Therefore, another form the equation could be written is;
[tex]3x+5y+2=0[/tex]