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Use the slope-format to graph equation y=2x+1

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y = 2x + 1

try plugging "0" into x to get a y value:

y = 2(0) + 1

y = 0 + 1 = 1

so now you have a point (x,y) which is (0,1). now graph this point.

we know that the slope of this line is 2 from the given equation in slope intercept form (y = mx + b)

we know that m = Δy/Δx: meaning the change in y over change in x.

since m = 2,  we can have Δy = 2, and Δx = 1, or 2/1.

so from the point (0,1), move your pencil 1 unit to the right and 2 units up. this will be the second point (1,3).

now, all you have to do is use a ruler to create a line going through both points.