A mathematics class has studied linear equations, their graphs, and the results of multiplying both sides of an equation by a constant, or adding or subtracting two equations. Some properties of linear equations given by some of the students are stated in Exercise. In each exercise justify that the statement is valid or in error.
Anthony said that:
(a) If both sides of a linear equation are multiplied by 2, then the graph moves up by two units.
(b) If both sides of a linear equation are multiplied by –3, then the graph moves down by three units.
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