SOLUTION: Find an equation of the line that has the same y-intercetp as the line x-3y=6 and contains the point (5,-1).

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Question 261846: Find an equation of the line that has the same y-intercetp as the line x-3y=6 and contains the point (5,-1).
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The -intercept of a line represented by a two-variable equation is the point where is the value of when . So your first step is to substitute 0 for in your equation and calculate the resulting value of so that you can determine the point .

Once you have done that, you will have two points on the desired line -- the one you just derived and the given point

Having two points on your desired line you can then use the two-point form of the equation of a line to derive an equation for the desired line.



where and
are the coordinates of the two points.

John