SOLUTION: graph by using the slope and y intercept 5x+2y=-6

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Question 174157: graph by using the slope and y intercept
5x+2y=-6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

5x%2B2y=-6 Start with the given equation.


2y=-6-5x Subtract 5x from both sides.


2y=-5x-6 Rearrange the terms.


y=%28-5x-6%29%2F%282%29 Divide both sides by 2 to isolate y.


y=%28%28-5%29%2F%282%29%29x%2B%28-6%29%2F%282%29 Break up the fraction.


y=-%285%2F2%29x-3 Reduce.




Looking at y=-%285%2F2%29x-3 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-5%2F2 and the y-intercept is b=-3


Since b=-3 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 -5%2F2, this means:

rise%2Frun=-5%2F2


which shows us that the rise is -5 and the run is 2. This means that to go from point to point, we can go down 5 and over 2



So starting at , go down 5 units


and to the right 2 units to get to the next point



Now draw a line through these points to graph y=-%285%2F2%29x-3

So this is the graph of y=-%285%2F2%29x-3 through the points and