SOLUTION: I need to solve each system by graphing and tell wether the equation hes one solution, infinitely many solutions or no solution: y=3x+3 y=x-3

Question 704584: I need to solve each system by graphing and tell wether the equation hes one solution, infinitely many solutions or no solution:
y=3x+3
y=x-3
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'll graph y = 3x+3 for you (and hopefully that will be enough to tell you how to graph y = x - 3 as well)

Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is

Since 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 , 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

So this is the graph of through the points

and

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