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

Algebra ->  Coordinate Systems and Linear Equations -> 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      Log On


   

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) About Me  (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 y=3x%2B3 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=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 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%2B3

So this is the graph of y=3x%2B3 through the points and