SOLUTION: graph y = 9x − 3

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Question 965953: graph
y = 9x − 3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Graphing Linear Equations
In order to graph y=9%2Ax-3 we only need to plug in two points to draw the line

So lets plug in some points

Plug in x=0

y=9%2A%280%29-3

y=0-3 Multiply

y=-3 Add

So here's one point (0,-3)




Now lets find another point

Plug in x=1

y=9%2A%281%29-3

y=9-3 Multiply

y=6 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 y=9%2Ax-3 through the points (0,-3) and (1,6)


So from the graph we can see that the slope is 9%2F1 (which tells us that in order to go from point to point we have to start at one point and go up 9 units and to the right 1 units to get to the next point) the y-intercept is (0,-3)and the x-intercept is (0.333333333333333,0) ,or (1%2F3,0)


We could graph this equation another way. Since b=-3 this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,-3).


So we have one point (0,-3)





Now since the slope is 9%2F1, this means that in order to go from point to point we can use the slope to do so. So starting at (0,-3), we can go up 9 units



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


Now draw a line through those points to graph y=9%2Ax-3


So this is the graph of y=9%2Ax-3 through the points (0,-3) and (1,6)