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).

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) (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

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