Respuesta :
Answer:
The slope intercept form of the equation is:
[tex]y=-\frac{2}{3}x+\frac{20}{3}[/tex]Explanation:
Given the equation;
[tex]2x+3y=20[/tex]We want to re-write it in slope-intercept form;
[tex]\begin{gathered} y=mx+b \\ m=\text{slope} \\ b=\text{ y-intercept} \end{gathered}[/tex]To do that, let us make y the subject of formula in the given equation;
subtract 2x from both sides;
[tex]\begin{gathered} 2x-2x+3y=-2x+20 \\ 3y=-2x+20 \end{gathered}[/tex]then divide both sides by 3 ( the coefficient of y);
[tex]\begin{gathered} \frac{3y}{3}=\frac{-2x}{3}+\frac{20}{3} \\ y=-\frac{2}{3}x+\frac{20}{3} \end{gathered}[/tex]Therefore, the slope intercept form of the equation is;
[tex]y=-\frac{2}{3}x+\frac{20}{3}[/tex]
