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jkev1

  • 3 years ago

Write an equation of the line that passes through the pair of points. (2,3), (4,-2)? a.y=- 5/2x-1/8 b.y=- 5/2 x-8 c.y= - 5/2x+8 d.y=5/2x+8

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  1. waterineyes
    • 3 years ago
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    Find slope first..

  2. jkev1
    • 3 years ago
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    i'm so confused:( @waterineyes

  3. waterineyes
    • 3 years ago
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    Slope is given by: \[\huge \color{blue}{Slope = \frac{y_2-y_1}{x_2 - x_1}}\]

  4. jkev1
    • 3 years ago
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    Okay

  5. waterineyes
    • 3 years ago
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    Can you find slope now or not?? Just plug in the values, \[(x_1,y_1) = (2,3)\] \[(x_2,y_2) = (4,-2)\]

  6. waterineyes
    • 3 years ago
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    I have to leave now... So, I am solving this for you: \[m = \frac{-2-3}{4-2} = \frac{-5}{2}\] The equation with one point and one slope is given by: \[\large \color{green}{y - y_1 = m(x - x_1)}\] Putting the first point \((2,3)\) in this: \[y - 3 = m(x - 2) \implies y - 3 = \frac{-5}{2}(x - 2)\] \[y - 3= \frac{-5}{2}x + 5 \implies y = \frac{-5}{2}x + 8\]

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