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March 29, 2017

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Find a linear equation whose graph is the straight line with the given property. HINT [See Example 2.]
Through (2, −3) and (1, 1)

Which formula do I use?
y2-y1/x2-x1 or y-y1=m(x-x1)[<--if i use this how do i plug in the numbers?]

Thank you.

  • Algebra - ,

    Use both formulas.

    m = (y2 - y1)/(x2 - x1)
    = [1 - (-3)]/(1 - 2)
    = (1 + 3)/(1 - 2)
    = 4/-1 or -1/4

    Substitute the first ordered pair into the second formula:

    y - (-3) = -1/4(x - 2)
    y + 3 = -1/4x + 2/4
    y = -1/4x + 2/4 - 3
    y = -1/4x - 10/4
    This equation is in the form: y = mx+b

    I hope this helps.

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