Question

How do you turn 2x+3y=20 into slope intercept form?

Answer 1

Answer:

The slope intercept form of the equation is:

$y=-\frac{2}{3}x+\frac{20}{3}$

Explanation:

Given the equation;

$2x+3y=20$

We want to re-write it in slope-intercept form;

$\begin{gathered} y=mx+b \\ m=\text{slope} \\ b=\text{ y-intercept} \end{gathered}$

To do that, let us make y the subject of formula in the given equation;

subtract 2x from both sides;

$\begin{gathered} 2x-2x+3y=-2x+20 \\ 3y=-2x+20 \end{gathered}$

then divide both sides by 3 ( the coefficient of y);

$\begin{gathered} \frac{3y}{3}=\frac{-2x}{3}+\frac{20}{3} \\ y=-\frac{2}{3}x+\frac{20}{3} \end{gathered}$

Therefore, the slope intercept form of the equation is;

$y=-\frac{2}{3}x+\frac{20}{3}$