# How do you graph 2x - y >= 4?

Apr 22, 2015

$2 x - y \ge 4$

By adding $y$ and subtracting $4$ from both sides we can convert this into a more standard form:
$2 x - 4 \ge y$
or
$y \le 2 x - 4$

Consider the equality portion of this:
$y = 2 x - 4$
which is the standard slope- y intercept form of a linear equation

From this we know that the y-intercept is at $\left(0 , - 4\right)$ and for every unit of increase in $x$, $y$ increases by $2$ (so we could generate points $\left(1 , - 2\right) , \left(2 , 0\right) , \left(3 , 2\right)$ etc.)

Our graph of $y \le 2 x - 4$ includes this line plus all values of $y$ below this line for any given value of $x$