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Math Help - Line cuts the curve

  1. #1
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    Line cuts the curve

    Find the coordinates of the points where the line y=3x-2 cuts the curve y=x(sqrd)+4x-8

    do i solve this simultanously? i know i would for two lines but a line a curve confuses me... thanks
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  2. #2
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    Quote Originally Posted by RubbishAtMaths View Post
    Find the coordinates of the points where the line y=3x-2 cuts the curve y=x(sqrd)+4x-8

    do i solve this simultanously? i know i would for two lines but a line a curve confuses me... thanks
    Yes it's just the same, solve them simultaneously.

    At the point where they cut they both have the same y coordinate.

    therefore y = y

     \therefore 3x-2=x^2+4x-8

     \therefore x^2+x-6 = 0

    Solve for x and this gives you the x coordinates of the cutting points (there's 2 points where this line cuts this curve!), plug these points into either y equation to get corresponding y coordinates.
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