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What is the equation of the line that contains the points with (x,y) coordinates (–3,7) and (5,–1) ?

i need to know how to work it out..not the answer....

and also...whts the thing..i forgot how it is..

x= -b+- (square root) of bsquared minus 4ad..all over 2a??

is tht how tht goes....?

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3 ANSWERS


  1. go to google or yahoo to do research..no easy answers here...


  2. Y=-1-7

         5+3

        

  3. The line through two distinct points (x1, y1) and (x2, y2) is given by

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

    but I don't think this is the formula you are learning, or the way you are learning it.

    This is the 2-point slope formula:

      y-y1     y2-y1

      ------ = -----------

      x-x1     x2-x1          

    so let's say (x1, y1) = (-3, 7) and  (x2, y2) = (5, -1)

    so

    (y-7)/(x- -3) = (-1 -7)/(5- -3)

    simplify the right side and you get

    (y--7)/(x+3) = -8/8

    or

    (y-7)/(x+3)= -1

    Next, solve for Y.  The first step in this one is to multiply both sides by (x+3).

    y-7 = -1(x + 3)   From here, multiply out the right side...

    y-7 = -x -3   then add 7 to both sides.

    y = -x +4

         This is in your y = mx + b where m (-1) is slope and

          b (4) is the y-intercept.

    The second thing you're asking about is called the quadratic formula.

    Given aXsquared + bX + c = 0

    x = -b +- square root of (bsquared - 4ac)

          ----------------------------------------...

                       2a

    (sorry this doesn't line up right...only the right side is divided by 2a)

    The quadratic formula deals with parabolas, amongst other things.

        

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