SOLUTION: Graph the line. 3x+4y=-16

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Question 177165: Graph the line. 3x+4y=-16
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3x%2B4y=-16 Start with the given equation.


4y=-16-3x Subtract 3x from both sides.


4y=-3x-16 Rearrange the terms.


y=%28-3x-16%29%2F%284%29 Divide both sides by 4 to isolate y.


y=%28%28-3%29%2F%284%29%29x%2B%28-16%29%2F%284%29 Break up the fraction.


y=-%283%2F4%29x-4 Reduce.




Looking at y=-%283%2F4%29x-4 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-3%2F4 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%2F4, this means:

rise%2Frun=-3%2F4


which shows us that the rise is -3 and the run is 4. This means that to go from point to point, we can go down 3 and over 4



So starting at , go down 3 units


and to the right 4 units to get to the next point



Now draw a line through these points to graph y=-%283%2F4%29x-4

So this is the graph of y=-%283%2F4%29x-4 through the points and

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Graph the line. 3x+4y=-16
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y = (-3/4)x - 4
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Plot two points and draw a line thru them.
If x = 0, y = -4
If x = 4, y = -7
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Plot (0,-4) and (4,-7)
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graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%28-3%2F4%29x-4%29
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Cheers,
Stan H.