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3x+4y=-4 can be graphed on a graphing calculator or by changing the form of the equation from standard form to slope intercept form.

Rearrange the equation

4y=-3x-4

divide by 4

y=(-3/4)x-1

Now, you can simply graph the equation using the y intercept and the slope of the equation.

A good point to start with is (0,-1) you know this point is the y intercept because of the standard y intercept equation y= mx+b where b is the y intercept and m is the slope.

From the y intercept of (0,-1) you can then graph using the slope which is the change of y over change in x. So you would move up 3 and to the left 4 since the slope is negative. You can also move down three and to the right 4. Then continue, this process until you have the equation graphed. It should be a straight line.

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Q: How do you graph 3x plus 4y equals -4?
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