SOLUTION: graph the equation y-3x=0

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Question 223413: graph the equation y-3x=0
Answer by jim_thompson5910(33401) About Me  (Show Source):
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y-3x=0 Start with the given equation.

y=3x Add 3x to both sides.

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

Also, because the slope is 3, this means:


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