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Please help!! Write an equation of the line that is parallel to the given line y = x + 3 and the given point (5,0).
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Answer. y = x - 5.
Solution.
This line has the form y = x + c,
and you need to choose the constant c in a way y=0 at x=5:
0 = 5 + c.
It gives c = -5.
Therefore y = x -5.