SOLUTION: Graph f(x) = 3x + 2

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Question 112321: Graph f(x) = 3x + 2
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=3%2Ax%2B2 we only need to plug in two points to draw the line

So lets plug in some points

Plug in x=-3

y=3%2A%28-3%29%2B2

y=-9%2B2 Multiply

y=-7 Add

So here's one point (-3,-7)




Now lets find another point

Plug in x=-2

y=3%2A%28-2%29%2B2

y=-6%2B2 Multiply

y=-4 Add

So here's another point (-2,-4). Add this to our graph





Now draw a line through these points

So this is the graph of y=3%2Ax%2B2 through the points (-3,-7) and (-2,-4)


So from the graph we can see that the slope is 3%2F1 (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 (0,2)and the x-intercept is (-0.666666666666667,0) ,or (-2%2F3,0)


We could graph this equation another way. Since b=2 this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,2).


So we have one point (0,2)





Now since the slope is 3%2F1, this means that in order to go from point to point we can use the slope to do so. So starting at (0,2), 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 y=3%2Ax%2B2


So this is the graph of y=3%2Ax%2B2 through the points (0,2) and (1,5)