SOLUTION: Graph the linear equation f(x)=6x

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Question 730136: Graph the linear equation f(x)=6x
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Graphing Linear Equations
In order to graph y=6%2Ax%2B0 we only need to plug in two points to draw the line

So lets plug in some points

Plug in x=-1

y=6%2A%28-1%29%2B0

y=-6%2B0 Multiply

y=-6 Add

So here's one point (-1,-6)




Now lets find another point

Plug in x=0

y=6%2A%280%29%2B0

y=0%2B0 Multiply

y=0 Add

So here's another point (0,0). Add this to our graph





Now draw a line through these points

So this is the graph of y=6%2Ax%2B0 through the points (-1,-6) and (0,0)


So from the graph we can see that the slope is 6%2F1 (which tells us that in order to go from point to point we have to start at one point and go up 6 units and to the right 1 units to get to the next point) the y-intercept is (0,0)and the x-intercept is (0,0)


We could graph this equation another way. Since b=0 this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,0).


So we have one point (0,0)





Now since the slope is 6%2F1, this means that in order to go from point to point we can use the slope to do so. So starting at (0,0), we can go up 6 units



and to the right 1 units to get to our next point


Now draw a line through those points to graph y=6%2Ax%2B0


So this is the graph of y=6%2Ax%2B0 through the points (0,0) and (1,6)