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Math Help - Finding the slope of this graph

  1. #1
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    Finding the slope of this graph

    I know to find the slope you have to find two points on the graph and then use this formula:

    y2-y1 / x2-x1

    However in this graph it only shows the X values, not the Y. So how am I supposed to do it?

    Also, could someone guide me to how the derivative graph of it would look like as well.

    I've attached the picture of the graph.

    Thanks in advance to whoever can help me.
    Attached Thumbnails Attached Thumbnails Finding the slope of this graph-slope-1.jpg  
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  2. #2
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    Quote Originally Posted by Pi314 View Post
    I know to find the slope you have to find two points on the graph and then use this formula:

    y2-y1 / x2-x1

    However in this graph it only shows the X values, not the Y. So how am I supposed to do it?
    Are you sure no values of y were given? They may have not written the numbers but dashes instead.

    Otherwise, they might have drawn the graph to scale and wanted you to measure the rise and run (with a ruler) and find the slope.

    Quote Originally Posted by Pi314 View Post
    Also, could someone guide me to how the derivative graph of it would look like as well.
    Notice that tangent lines have the same slope as the line itself. The tangent slope is constant throughout. What does this tell you about the graph of the derivative?
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  3. #3
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    I improvised on the y values as I thought the same thing and my professor might have even said that, however I couldn't remember...

    As for the graph I attached it, it's only partial though as the instructions said just to show the portion on those particular points. I think it's right but would rather have a second opinion, thanks again for your help.
    Attached Thumbnails Attached Thumbnails Finding the slope of this graph-slope-deriv-1.jpg  
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