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how to I find an equation of a line given two points on that line (not using a graph) example:(1,5)(2,7)

  • Algebra -

    Use the standard linear equation form
    y = mx + b.
    The slope is m = (7-5)/(2-1) = 2
    Choose b so that y = 2x + b goes through either point.

    7 = 2*2 + b

    Solve for b and then write the standard equation with numbers substituted for m and b

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