Question 364105
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Hi, 
One can work with the equation as given 
Or solve for y prior to doing the table of ordered pairs.
4x+3y=-12
3y = -4x - 12
y = (-4/3)x- 4
for example

t-table 
*[tex \LARGE \ \ \ \ \ x \ \ \ \ \ y = (-4/3)x - 4 \ \ \ \ \ \ \ \ \ y]
*[tex \LARGE \ \ \ \ -3 \ \ \ \ \ y = (-4/3)(-3)\ - 4\ \ \ \ \ 0]
*[tex \LARGE \ \ \ \ -1 \ \ \ \ \ y = (-4/3)(-1)\ - 4 \ \ \ \ (-8/3)]
*[tex \LARGE \ \ \ \ \ 0 \ \ \ \ \ \  y = (-4/3)(0)\ - 4 \ \ \ \ \ \ -4]
*[tex \LARGE \ \ \ \ \ 1 \ \ \ \ \ \ y = (-4/3)(1)\ - 4 \ \ \ \ \ \ (-16/3)]
*[tex \LARGE \ \ \ \ \ 3 \ \ \ \ \ \ y = (-4/3)(3)\ - 4 \ \ \ \ \ \ -8]