SOLUTION: How do you find the line that has a slope of 1/4 and passes the points (3,1)?

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Question 8241: How do you find the line that has a slope of 1/4 and passes the points (3,1)?

Answer by glabow(165) About Me  (Show Source):
You can put this solution on YOUR website!
I will assume you mean the equation of the line that has a slope of 1/4 and passes through the point (3,1).
The equation of the slope of a line is the rise (change in y) over the run (change in x). So, we have
slope+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 where one point is (x[1],y[1]) and the other is (x[2], y[2])
You know the slope (1/4) and you know one point (3,1) so you put these values in the equation of the slope and rearrange to get the slope-intercept form.
1%2F4=%281-y%29%2F%283-x%29
3-x=4-4y
-1-x=-4y
4y=x%2B1
y=%281%2F4%29x%2B1%2F4