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Math Help - Determining slope and y-intercept.

  1. #1
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    Determining slope and y-intercept.

    So, the equation that I'm given is this:

    7y + 12x -2 = 0

    and I'm told to determine the y-intercept and the slope of this line, but I'm not entirely sure how to go about doing that.

    Any help would be appreciated!
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  2. #2
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    Quote Originally Posted by Rumor View Post
    So, the equation that I'm given is this:

    7y + 12x -2 = 0

    and I'm told to determine the y-intercept and the slope of this line, but I'm not entirely sure how to go about doing that.

    Any help would be appreciated!
    Manipulate into the form y=mx+c. m is the slope and c is the y-intercept
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  3. #3
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    Quote Originally Posted by Rumor View Post
    So, the equation that I'm given is this:

    7y + 12x -2 = 0

    and I'm told to determine the y-intercept and the slope of this line, but I'm not entirely sure how to go about doing that.

    Any help would be appreciated!

    If you solve the equation for y in terms of x you will get the equation in slope intercept form.
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  4. #4
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    Quote Originally Posted by Rumor View Post
    So, the equation that I'm given is this:

    7y + 12x -2 = 0

    and I'm told to determine the y-intercept and the slope of this line, but I'm not entirely sure how to go about doing that.

    Any help would be appreciated!
    <br />
7y+12x-2=0<br /> <br />
Rearrange into y=mx+b:<br /> <br />
7y=-12x+2<br /> <br />
Simplify:<br /> <br />
7y/7= 12/7x +2/7<br /> <br />
y=12/7x + 2/7(0.28)<br /> <br />
The slope is 12/7 and the y intercept is 0.28.
    Last edited by Vesicant; October 20th 2009 at 03:25 AM.
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  5. #5
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    \begin{array}{rcrcrc}<br />
7y + 12x - 2 = 0\\<br />
7y = -12x + 2\\<br />
y = \frac{-12x}{7} + \frac{2}{7}<br />
\end{array}

    The gradient ( m) is \frac{-12x}{7}, and the y-intercept ( c) is \frac{2}{7}.
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