How do you graph $2 x - y \geq 4$ $2x - y >= 4$ ?

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How do you graph $2 x - y \geq 4$ $2x - y >= 4$ ?

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Answer 1 · 2015-04-22T11:41:00

$2 x - y \geq 4$ $2x-y>=4$

By adding $y$ $y$ and subtracting $4$ $4$ from both sides we can convert this into a more standard form:
$2 x - 4 \geq y$ $2x-4>=y$
or
$y \leq 2 x - 4$ $y<=2x-4$

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

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

Our graph of $y \leq 2 x - 4$ $y<=2x-4$ includes this line plus all values of $y$ $y$ below this line for any given value of $x$ $x$
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How do you graph $2 x - y \geq 4$ $2x - y >= 4$ ?

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