SOLUTION: HOW DO YOU GRAPH y=-2x+1 and y=3x

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Question 702229: HOW DO YOU GRAPH y=-2x+1 and y=3x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Lets graph each one at a time


Graphing y=-2x+1

Looking at y=-2x%2B1 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-2 and the y-intercept is b=1


Since b=1 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 -2, this means:

rise%2Frun=-2%2F1


which shows us that the rise is -2 and the run is 1. This means that to go from point to point, we can go down 2 and over 1



So starting at , go down 2 units


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



Now draw a line through these points to graph y=-2x%2B1

So this is the graph of y=-2x%2B1 through the points and

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Looking at y=3x 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=0 note: y=3x really looks like y=3x%2B0


Since b=0 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 up 3 and over 1



So starting at , go up 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

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

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Now let's graph the two together



Graph of y = -2x+1 (green) and y = 3x (blue)