SOLUTION: four years ago age of mother was three times the age of her daughter. write the linear equation to represent this situation and draw its graph

Question 537019: four years ago age of mother was three times the age of her daughter. write the linear equation to represent this situation and draw its graph

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Let the current age of the daughter be
Let the current age of the mother be
For years ago, their ages were and and we had

That's the equation of a line in point-slope form. Its slope is 3, and it passes through the nonsensical point that indicates they are both 4 now and 4 years ago they were both zero years old and of course zero equals three times zero. There are many other points that do not make sense, but let's graph anyway.
We have that nonsense point and we could pick a more sensible one, (29, 79) for the case where four years ago the mother and daughter were 25 and 75 respectively.

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