Question 530828: a line passing through (0,6) and (2,1) can i get a step by step in words not numbers please.
Answer by josmiceli(19441)   (Show Source):
You can put this solution on YOUR website! What is the equation of the line passing through
(0,6) and (2,1) ?
the point-slope formula says:
( change in y ) / ( change in x ) = ( change in y ) / ( change in x )
Suppose I call the 2 given points  , and 
= (x1 , y1)
= (x2 , y2)
Change in y = y2 - y1
Change in x = x2 - x1
-----------------
The formula uses the concept that any point (x,y) is also
OK to use, so I can say
( change in y ) / ( change in x ) = ( y - y1 ) / ( x - x1 )
-----------------
Putting these ideas together,
( y - y1 ) / ( x - x1 ) = ( y2 - y1 ) / ( x2 - x1 )
Now you just have to substitute the actual numbers:
(x1,y1) = (0,6)
(x2,y2) = (2,1)
check answer:
(2,1)
OK
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