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;

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

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