SOLUTION: Graph f(x) = 4x + 1

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Question 90275: Graph f(x) = 4x + 1
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=4%2Ax%2B1 we only need to plug in two points to draw the line

So lets plug in some points

Plug in x=-2

y=4%2A%28-2%29%2B1

y=-8%2B1 Multiply

y=-7 Add

So here's one point (-2,-7)




Now lets find another point

Plug in x=-1

y=4%2A%28-1%29%2B1

y=-4%2B1 Multiply

y=-3 Add

So here's another point (-1,-3). Add this to our graph





Now draw a line through these points

So this is the graph of y=4%2Ax%2B1 through the points (-2,-7) and (-1,-3)


So from the graph we can see that the slope is 4%2F1 (which tells us that in order to go from point to point we have to start at one point and go up 4 units and to the right 1 units to get to the next point) the y-intercept is (0,1)and the x-intercept is (-0.25,0) ,or (-1%2F4,0)


We could graph this equation another way. Since b=1 this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,1).


So we have one point (0,1)





Now since the slope is 4%2F1, this means that in order to go from point to point we can use the slope to do so. So starting at (0,1), we can go up 4 units



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


Now draw a line through those points to graph y=4%2Ax%2B1


So this is the graph of y=4%2Ax%2B1 through the points (0,1) and (1,5)