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Thread: Gradient of line between two points.

  1. September 26th 2010, 10:11 AM #1
    ConotM8350
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    Gradient of line between two points.

    Probably an easy one for you guys.
    Find the Gradient of points (-3,4) (5,-2)
    I keep getting -6 over 8.
    If you could explain how you got the answer and where I'm going wrong that would be great!
    Last edited by mr fantastic; September 26th 2010 at 03:31 PM. Reason: Re-titled.
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  2. September 26th 2010, 10:19 AM #2
    Raoh
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    the gradient (slope) is defined as m=\frac{\Delta y}{\Delta x}.
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  3. September 26th 2010, 10:34 AM #3
    RHandford
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    Quote Originally Posted by ConotM8350 View Post
    Probably an easy one for you guys.
    Find the Gradient of points (-3,4) (5,-2)
    I keep getting -6 over 8.
    If you could explain how you got the answer and where I'm going wrong that would be great!

    As stated the slope is the rise for a given run. So in your example:

    x=8 (-3,5) and y = -6 (4,-2) so the slope is -6/8 or -0.758



    Hope this helps
    Attached Thumbnails Attached Thumbnails Gradient of line between two points.-screenshot.png  
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  4. September 26th 2010, 10:37 AM #4
    skeeter
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    Quote Originally Posted by ConotM8350 View Post
    Probably an easy one for you guys.
    Find the Gradient of points (-3,4) (5,-2)
    I keep getting -6 over 8.
    If you could explain how you got the answer and where I'm going wrong that would be great!
    you are correct ...

    \displaystyle m = \frac{4 - (-2)}{-3 - 5} = -\frac{6}{8}
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