Question 84745: Graph f(x) = 3x + 2.
Answer by bucky(2189)   (Show Source):
You can put this solution on YOUR website! The easiest way to graph this equation is to select values of x, calculate the corresponding
values of y, plot the resulting (x,y) points, and draw a line through the points.
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For example, when x = 0 then substitute 0 for x in the given equation and you find that y becomes:
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y = 3x + 2 = 3*0 + 2 = 2
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This tells you that the point (0, 2) is on the graph. Plot this point on the graph.
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Next select another value for x. Suppose you choose x = 5. Substituting 5 for x in the equation
results in:
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y = 3*5 + 2 = 15 + 2 = 17
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This tells you that the point (5,17) is on the graph. Plot it on your coordinate system.
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Just to be on the safe side, let's do a third point so we can find if all three points
are in a straight line. Suppose we select -3 for x. Substitute -3 for x in the equation
and you get:
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y = 3*(-3) + 2 = -9 + 2 = -7
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This tells you that the (x,y) point (-3, -7) is on the line. Plot it and draw a straight
line through the three points. This will show you the graph of the equation:
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y = 3x + 2
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When you get done the graph should look like this:
.
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Hope this helps you understand a way you can graph linear [straight line] equations.
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