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Pris

  • 3 years ago

MATH QUESTION HELP! If the slope of the line that passes through the points (a, 0) and (1, -2) is 1/2, what is the value of a?

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  1. henpen
    • 3 years ago
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    The gradient is 1/2?

  2. Pris
    • 3 years ago
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    The slope is 1/2. I'm not sure what you mean by gradient though.

  3. henpen
    • 3 years ago
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    Gradient=slope

  4. henpen
    • 3 years ago
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    The equation of the line is y=mx+c m=0.5 so y=0.5x+c To find c, insert (1,-2) into the equation (x=1, y=-2), as the line passes through this point. -2=0.5(1)+c c=-1.5 So y=0.5x-1.5 (a,0) insert y=0 0=0.5x-1.5 1.5=0.5x x=3

  5. henpen
    • 3 years ago
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    *That method to find c works as c should satisfy the equation when any set of points (here (-2,1)) are put in. If x=3 when y=0, then a=3

  6. henpen
    • 3 years ago
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    Do you want me to expand on anything you don't get?

  7. Pris
    • 3 years ago
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    No I get it thanks a bunch! :)

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