SOLUTION: graph the line y = mx+b for the given values m=-5/3,b=2

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Question 602531: graph the line y = mx+b for the given values m=-5/3,b=2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
y = mx+b becomes y=%28-5%2F3%29x%2B2


Looking at y=-%285%2F3%29x%2B2 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-5%2F3 and the y-intercept is b=2


Since b=2 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%2F3, this means:

rise%2Frun=-5%2F3


which shows us that the rise is -5 and the run is 3. This means that to go from point to point, we can go down 5 and over 3



So starting at , go down 5 units


and to the right 3 units to get to the next point



Now draw a line through these points to graph y=-%285%2F3%29x%2B2

So this is the graph of y=-%285%2F3%29x%2B2 through the points and