Question

Graph the solution of liner equality 3y-2x less then or equal to 12

Answer 1

Given the inequality;

`3y-2x\leq12`

Let's convert it to slope intercept form;

`\begin{gathered} 3y-2x\leq12 \\ Add\text{ 2x from both sides and divide both sides by 3;} \\ 3y-2x+2x\leq12+2x \\ 3y\leq2x+12 \\ (3y)/(3)\leq(2x)/(3)+(12)/(3) \\ y\leq(2)/(3)x+4 \end{gathered}`

So, the slope of the line is 2/3 which is positive, and the intercept on the y axis is 4.