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Question 86855: find the slope intercept form (y=mx+b) of the equation for the line that satisfy the following:
passes through the points (3,-1) and (1,4)
Answer by praseenakos@yahoo.com(507)   (Show Source):
You can put this solution on YOUR website! Question:
find the slope intercept form (y=mx+b) of the equation for the line that satisfy the following:
passes through the points (3,-1) and (1,4)
Answer:
You want to find the equation for a line that passes through the two points:
(3,-1) and (14,).
First of all, remember what the equation of a line is:
y = mx+b, Where: m is the slope, and b is the y-intercept
First, let's find what m is, the slope of the line...
slope is given by the formula, 
==> 
==> 
==> 
Now equation of a line is given by, y = mx + b
Now plug any of the given point in this equation.
Lets take the first point ( 3, -1)
==> 
==> 
==> 
==> 
That is 
[If you take the second point also you will get the same value for b]
So the equation of the line :
Which is the required equation of the line.
Hope you found the explanation useful
Warm regards.
Praseena.
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