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Question 717522: Write the equation in slope intercept form (4,1), m=2
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! There are many different ways to write the equation of a line.
The  form is very popular because there is only one point-slope form of the equation per line,
so if your answer looks very different from someone else's, at least one of you is wrong.
When you have the slope, m, and the coordinates of a point, you can easily write one of the  forms of the equation.
A little algebra manipulation can get you from that point-slope form to the form.
Alternatively, you could write the slope-intercept form leaving the still unknown intercept written as the variable  , and find later by solving an equation.
GOING THROUGH THE POINT-SLOPE FORM:
Using point (4,1), the point-slope form is
The little algebra to get to the slope-intercept form is
-->  -->  --> 
NOT GOING THROUGH THE POINT-SLOPE FORM:
The slope-intercept form is  where  is the slope, so for now we write
 and will have to solve a simple equation to find .
Point (4,1) is on the line and has  and  .
Substituting those values into we get
 -->  -->  --> 
Now that we know the cvalue of , we can plug it into and be done:
 -->
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