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rannsan

  • 3 years ago

Find the slope, if possible, of the line passing through each pair of points. (2,-1) and (6, 3)

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  1. rannsan
    • 3 years ago
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    It passes through but I do not understand, can someone explain?

  2. Hero
    • 3 years ago
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    There are a few ways of finding the slope: 1. Directly (using slope formula) 2. Graphically (using rise/run) 3. Algebraically (using y = mx + b)

  3. rannsan
    • 3 years ago
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    algebraically please if you don't mind

  4. Hero
    • 3 years ago
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    If you want to find it algebraically, you have to insert each point, one at a time, into the equation y = mx + b. Doing that, you'll get -1 = 2m + b 3 = 6m + b

  5. rannsan
    • 3 years ago
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    Oops I am sorry I have to use the slope formula.

  6. Hero
    • 3 years ago
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    Okay, then use this slope formula: \[m = \frac{y_2 - y_1}{x_2 - x_1}\]

  7. rannsan
    • 3 years ago
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    slope = (y2 - y1)/(x2 - x1)?

  8. rannsan
    • 3 years ago
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    slope = (3 - (-1))/(6 - 2) slope = (3 + 1)/4 slope = 4/4 slope = 1

  9. rannsan
    • 3 years ago
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    I think this is right

  10. Hero
    • 3 years ago
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    Good job. Now, here's a challenge. See if you can figure it out the algebraic way

  11. rannsan
    • 3 years ago
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    good golly I want to learn to like algebra

  12. rannsan
    • 3 years ago
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    I will try but I have more homework to do.

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