Find the equation of the line containing the points (-2,3) and (2,-3).

Step 1: Find the slope from the two points given to you by
using the formula  Slope (m) = (y2 –y1)/( x2 – x1)

    
x1=-2, y1=3,   x2=2,  y2=-3  so m= (-3 –3)/( 2–
-2)=-6/4=-3/2

Step2: Find the
y-intercept (b) using the slope-intercept form(y=mx+b)

   
Chose one the point to sub for your x and y (I will choose the first point) so xà -2 and
y à 3 and of course you just solved for the slope so you now know m à -3/2
         

   Y =    m    x     +
b

   3 = (-3/2)( -2) + b    Now solve the equation for
b

   3 =         3      +  
b

  0  =     b 

Step 3: Now
you know both m(slope) and b(y-intercept) so you can write the equation
as

                          y=(-3/2) x +
0     OR     y=(-3/2) x