Question

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

Answer 1

The slope intercept form of the equation is:

`y=-(2)/(3)x+(20)/(3)`

Step-by-step 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} (3y)/(3)=(-2x)/(3)+(20)/(3) \\ y=-(2)/(3)x+(20)/(3) \end{gathered}`

Therefore, the slope intercept form of the equation is;

`y=-(2)/(3)x+(20)/(3)`