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How would you solve these types of problems? They confuse me!

1. Write the quation of the line that passes through points (-8,-6) and (5,3)

2. Write the equation of the line that passes through (3,-4) and has a slope of 2.

I know that you have to do something with y=mx+b, but I don't know what. I also have a graphing calcluator if that helps with anything.

  • Algebra -

    1. The slope of the line will be
    m = (y2-y1)/(x2-x1) = 9/13
    The equation will have the form
    y-y1 = m(x-x1)
    Use x1, y1, and rewrite this as:
    y+6 = (9/13)(x+8)
    y = (9/13)x -6/13

    The same approach will work for #2

  • Algebra -

    how did you get from
    y+6 = (9/13)(x+8)
    y = (9/13)x -6/13 ?

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