SOLUTION: Im getting stuck on Solving Systems by Graphing in algebra 1. Im reviewing but I have clue what todo. One of the problems is : y=3x -6 y=-x+2 So I have to graph this but

Algebra ->  Graphs -> SOLUTION: Im getting stuck on Solving Systems by Graphing in algebra 1. Im reviewing but I have clue what todo. One of the problems is : y=3x -6 y=-x+2 So I have to graph this but      Log On


   

Question 490739: Im getting stuck on Solving Systems by Graphing in algebra 1.
Im reviewing but I have clue what todo. One of the problems is :
y=3x -6
y=-x+2
So I have to graph this but I have no clue how!!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You start by graphing each equation separately, then you combine them to form one graph.


So let's start with graphing y=3x-6



Looking at y=3x-6 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=-6


Since b=-6 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-6

So this is the graph of y=3x-6 through the points and


Now use the same technique to graph y = -x+2

Once you've done that, and had a bit of practice with graphing, graph the two lines on the same grid. Where they intersect will give you the solution of the system.