How do you graph 4y<=-6 on the coordinate plane?

Sep 5, 2017

See a solution process below:

Explanation:

Divide each side of the inequality by $\textcolor{red}{4}$ to solve for $y$ while keeping the inequality balanced:

$\frac{4 y}{\textcolor{red}{4}} \le - \frac{6}{\textcolor{red}{4}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{4}}} y}{\cancel{\textcolor{red}{4}}} \le - \frac{6}{4}$

$y \le - \frac{3}{2}$

To graph this we will draw a horizontal line at $- \frac{3}{2}$ on the vertical axis.

The line will be a solid line because the inequality operator contains an "or equal to" clause.

We will shade to the below the line because the inequality operator also contains a "less than" clause:

graph{y<=-3/2 [-10, 10, -5, 5]}