# SOLUTION: Solve each of the following by graphing 3x-y=3 3x-y=6

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Question 107770: Solve each of the following by graphing
3x-y=3
3x-y=6

Answer by MathLover1(7480)   (Show Source):
You can put this solution on YOUR website!

here is the graph:

 Solved by pluggable solver: Graphing Linear Equations Start with the given equation Subtract from both sides Multiply both sides by Distribute Multiply Rearrange the terms Reduce any fractions So the equation is now in slope-intercept form () where (the slope) and (the y-intercept) So to graph this equation lets plug in some points Plug in x=-2 Multiply Add So here's one point (-2,-9) Now lets find another point Plug in x=-1 Multiply Add So here's another point (-1,-6). Add this to our graph Now draw a line through these points So this is the graph of through the points (-2,-9) and (-1,-6) So from the graph we can see that the slope is (which tells us that in order to go from point to point we have to start at one point and go up 3 units and to the right 1 units to get to the next point) the y-intercept is (0,)and the x-intercept is (,0) . So all of this information verifies our graph. We could graph this equation another way. Since this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,). So we have one point (0,) Now since the slope is , this means that in order to go from point to point we can use the slope to do so. So starting at (0,), we can go up 3 units and to the right 1 units to get to our next point Now draw a line through those points to graph So this is the graph of through the points (0,-3) and (1,0)

here is the graph:

 Solved by pluggable solver: Graphing Linear Equations Start with the given equation Subtract from both sides Multiply both sides by Distribute Multiply Rearrange the terms Reduce any fractions So the equation is now in slope-intercept form () where (the slope) and (the y-intercept) So to graph this equation lets plug in some points Plug in x=-1 Multiply Add So here's one point (-1,-9) Now lets find another point Plug in x=0 Multiply Add So here's another point (0,-6). Add this to our graph Now draw a line through these points So this is the graph of through the points (-1,-9) and (0,-6) So from the graph we can see that the slope is (which tells us that in order to go from point to point we have to start at one point and go up 3 units and to the right 1 units to get to the next point) the y-intercept is (0,)and the x-intercept is (,0) . So all of this information verifies our graph. We could graph this equation another way. Since this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,). So we have one point (0,) Now since the slope is , this means that in order to go from point to point we can use the slope to do so. So starting at (0,), we can go up 3 units and to the right 1 units to get to our next point Now draw a line through those points to graph So this is the graph of through the points (0,-6) and (1,-3)