Question 68881
<pre>
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 :

                 y<sub>2</sub> - y<sub>1</sub>
            m =  _______                           

                 x<sub>2</sub> - x<sub>1</sub>

Let (x<sub>1</sub>, y<sub>1</sub>) = (-4, 0)
    (x<sub>2</sub>, y<sub>2</sub>) = (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
 {{{ y = (-3/4)x + (-3)}}}

{{{  y = (-3/4)x - 3}}} <<< Equation written in slope -intercept form
    
    4y = -3x - 12
 3x + 4y + 12 = 0 <<<<<<<< Equation in standard form