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Math Help - simple graphing in algebra

  1. #1
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    Unhappy simple graphing in algebra

    hi im new here, and i need help in this simple question..
    can anyone explain how i can graph this: y = 3/2x + 1
    please i would appreciate any input
    thanks!
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  2. #2
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    Re: simple graphing in algebra

    Hi there

    It is not entirely clear what you mean; y = (3/2)x + 1 or y = 3/(2x) + 1? These are very different equations
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  3. #3
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    Re: simple graphing in algebra

    sorry, i meant:
    y = (3/2)x + 1
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  4. #4
    MHF Contributor MarkFL's Avatar
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    Re: simple graphing in algebra

    We are given to graph:

    y=\frac{3}{2}x+1

    This line is in the so-called slope-intercept form y=mx+b, where m is the slope and the y-intercept is (0,b).

    So, plot the y-intercept first...it is (0,1).

    Now, since the slope is m=\frac{3}{2}, from the y-intercept you may move two units to the right and three units up to (2,4) and plot a point there. Now, extend a line through the two points and you will have graphed the equation.

    Another method we be to write the equation in the two-intercept form \frac{x}{a}+\frac{y}{b}=1:

    \frac{x}{-\frac{2}{3}}+\frac{y}{1}=1

    Now, we can see we have the two intercepts:

    \left(-\frac{2}{3},0 \right),\,(0,1)

    Plot these points and extend a line through them.
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  5. #5
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    Re: simple graphing in algebra

    very useful.. thanks
    im really dumb now i forgot math and i have to get at least 30% in a placement test for college, so im reviewing a lot now
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