Question 701518: please help me solve this problem: "write the equation of a line that passes through (21,-40) and has a slope of 4/5" i need to find the equation of the line
Answer by KMST(5328) (Show Source):
You can put this solution on YOUR website! If you know the , m, and the coordinates of a , (a,b),
the equation of the line can be written as

That is called the - form of the equation of the line.
It is derived from the definition of
as the difference in y-coordinates divided by
difference in x-coordinates for any pair of points on the line.
For any unknown point (x,y) and a known point (a,b),
their coordinates and the slope, m, are related by
--> 
For your problem,
--> 
That is one of the infinite number of equivalent equations for the line.
It can be transformed into the unique slope-intercept form of the equation for the line.
--> --> --> --> --> (in slope-intercept form)
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