math

If is a line whose equation is y = 2x- 1, find the equation of the image of under each of the following translations:(x, y) S (x +3, y)

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  1. let (x,y) ---> (X,Y) where (X,Y) = (x+3,y)
    so X = x+3
    x = X-3 and y = Y

    new equation:
    Y = 2(X-3) - 1
    Y = 2X - 7

    or in the normal way : y = 2x - 7

    test: take any two points on the original line, say
    (0,-1) and (2,3)
    after the translation
    (0,-1) ---> (3,-1)
    (2.3) ----> (5,3)

    Do these new points lie on my new equation.
    A quick mental check shows they are

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    posted by Reiny

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