How do you graph $2 x + 4 y = - 8$ $2x+4y=-8$ ?

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How do you graph $2 x + 4 y = - 8$ $2x+4y=-8$ ?

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Answer 1 · 2015-02-03T19:39:08

You first have to convert this to a $y =$ $y=$ problem

Step 1: move the $x$ $x$ 's to the other side:
$2 x + 4 y = - 9 \to 4 y = - 2 x - 9$ $2x+4y=-9->4y=-2x-9$
Step 2: Divide everything by 4 to get a clean $y$ $y$
$y = - \frac{1}{2} x - 2 \frac{1}{4}$ $y=-1/2 x - 2 1/4$

Now you take two convenient $x$ $x$ 's and plu them into the equation
(multiples of 4 seem handy here)

$x = 0 \to y = - 2 \frac{1}{4} \to (0, - 2 \frac{1}{4})$ $x=0->y=-2 1/4-> (0,-2 1/4)$

$x = 4 \to y = - 2 - 2 \frac{1}{4} = - 4 \frac{1}{4} \to (4, - 4 \frac{1}{4})$ $x=4->y=-2-2 1/4=-4 1/4->(4,-4 1/4)$

And then draw a line connecting these points
graph{-0.5x - 2.25 [-10, 10, -5, 5]}

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How do you graph $2 x + 4 y = - 8$ $2x+4y=-8$ ?

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