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    Find an equation in slope-intercept form passing through the points (2,5) and (7,-3)

    0  Views: 209 Answers: 1 Posted: 13 years ago

    1 Answer

    (2,5) and (7,-3)


    Find slope first: (m)


             y2 - y1                      -3 - 5


    m = -----------   >   m = --------------


             x2 - x1                      7 - 2


    m = -8/5 is the slope.


     


    Now, find the y intercept (b) with one set of points. (2, 5)


    y = mX + b


    5 = -8/5(2) + b


    5 = -16/5 + b  >    5 = -16/5 + b


                             +16/5  +16/5


                               -----------------------


                                5 + 16/5 = b   >  25/5 + 16/5 = b


    41/5 = b is the y intercept.


    The equation:   y = mx + b


    y = -8/5 * x + 41/5


    y = -8x/5 + 41/5


     


     


     



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