Hi

I.Use the point-slope formula,  to find slope

II. then use Using the standard slope-intercept form for an equation of a line 

y = mx + b  where m is the slope and b the y-intercept to start the process

by substituting slope value found for m

III. use on the the ordered pairs to solve for b

IV. substitute that  value found for b in the equation 

For ex: Points (1,1)(5,6)  m = 5/4

 y = (5/4)x + b

 1 = (5/4) + b

 (-1/4) = b  therefore:  y = (4/5)x -1/4



 

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
  example: 



Find the equation of the line that passes through the points (–2, 4) and (1, 2).



      Well, if I have two points on a straight line, I can always find the slope; that's what the slope formula is for.



            



      Now I have the slope and two points. I know I can find the equation (by 



solving first for "") if I have a point and the slope. So I need to pick 



one of the points (it doesn't matter which one), and use it to solve for . 



Using the point (–2, 4), I get:



            



           

           

            



            



            



           



      ...so  











      On the other hand, if I use the point (1, 2), I get:



            



           



          

            

          



           



           



           



      So it  which point I choose. Either way, the answer is the same:



         



           



As you can see, once you have the slope, it doesn't matter which point you use in order to find the line equation. The answer will work out the same either way.



in general, we have



the points (x1, y1) and (x2, y2)





 slope 





............ 

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