Question 50951
y=mx+b [The slope-intercept form of a linear equation]
y=any y value
m=the slope of the line
x=any corresponding x value
b = the y-intercept -- where the line crosses the y-axis at point (0, b)
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y=4x+1
So, the slope (m) = 4 or  4/1 or -4/-1
The y-intercept = (0, 1).

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To graph, start at the y-intercept (0,1) and follow the slope (4/1). That is, go up 4 spaces and to the right one space.  
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Next, return to the y-intercept (0,1) and follow the other form of the slope (-4/-1).  That is, go down 4 spaces and to the left one space.  
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Connect the dots for the graph:

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{{{ graph( 300, 200, -6, 5, -10, 10, 4x+1) }}}