SOLUTION: 3x+y=-4

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Question 143105: 3x+y=-4
Answer by jim_thompson5910(35256) About Me  (Show Source):
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3x%2By=-4 Start with the given equation


y=-4-3x Subtract 3+x from both sides


y=-3x-4 Rearrange the equation




Looking at y=-3x-4 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-3 and the y-intercept is b=-4


Since b=-4 this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point




Now since the slope is comprised of the "rise" over the "run" this means
slope=rise%2Frun

Also, because the slope is -3, this means:

rise%2Frun=-3%2F1


which shows us that the rise is -3 and the run is 1. This means that to go from point to point, we can go down 3 and over 1



So starting at , go down 3 units


and to the right 1 unit to get to the next point



Now draw a line through these points to graph y=-3x-4

So this is the graph of y=-3x-4 through the points and