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Find an equation of the line having the given slope and given point?

m=6/7, (5, -1)

Please help me with this problem. Can you please show me all of your work? I understand the problem and can find the answer but the fraction is throwing me off. I need to know how to do that to complete the rest of my problems.

Thank you in advance :)

2 Answers

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  • 1 decade ago

    Point-Slope Formula: y - y1 = m (x - x1)

    **Just plug in the point and slope

    y + 1 = 6/7 (x - 5)

    **it changes to a plus sign because it is a double negative

    Y-intercept-Slope Formula: y = mx + b

    you plug in the slope and the x and y point you have:

    -1 = (6/7)(5) + b

    then solve for b

    -1 = (6/7)(5) + b

    **multiply 6/7 and 5

    -1 = 4 2/7 + b

    **subtract 4 1/2 from both sides

    -5 2/7 = b

    Then plug it in:

    y = 6/7x + -5 2/7

    Source(s): Currently taking geometry and took itegrated algebra last year
  • 1 decade ago

    m, 6/7 is the slope

    plug in (5,-1) for x and y in the equation y=mx + b

    b is the y intercept

    so...

    -1=(6/7)*(5) + b

    solve for b

    and the answer is y=6/7x + b (as you have found out previously)

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