An equation of the line can be determined when the coordinates of two points of the line are given.



1. Find the slope of the line through the given points.

Formula :



                 y2 - y1

            m =  _______                           



                 x2 - x1



Let (x1, y1) = (-4, 0)

    (x2, y2) = (0 , -3)





                 -3 - 0

              = ________



                0 - (-4)





                  -3

           m  =  ____



                  4



2. Write the slope - intercept form, find b given m = -3/4, use either of the points. 



      y = mx + b , m = -3/4, (x,y) = (0, -3)

     -3 = -3/4(0) + b

     -3 = b



The slope is -3/4 and y-intercept = -3



     y = mx + b

 



 <<< Equation written in slope -intercept form

    

    4y = -3x - 12

 3x + 4y + 12 = 0 <<<<<<<< Equation in standard form    











  

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