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Math

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A student used points (150,80) and (50,30) but wrote the equation y=5x + 0.5. What mistake did the student make?

  • Math - ,

    Equation of line through two points:

    y = y1 + [ ( y2 - y1 ) / ( x2 - x1 ) ] * ( x - x1 )

    In this case :

    x1 = 150

    y1 = 80

    x2 = 50

    y2 = 30

    so :

    y = 80 + [ ( 30 - 80 ) / ( 50 - 150 ) ] * ( x - 150 )

    y = 80 + [ ( - 50) / ( - 100) ] * ( x - 150 )

    y = 80 + ( 1 / 2 ) * ( x - 150 )

    y = 80 + x / 2 - 150 / 2

    y = 80 + 0.5 x - 75

    y = 0.5 x + 5

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