SOLUTION: What is the equation of a line with the points (-4,0) and (0,-3)? Thanks in advance for your help!

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