2. 外语
  3. The value of y will decrease as the value of x increases in which of the following equations?

The value of y will decrease as the value of x increases in which of the following equations?

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问题 The value of y will decrease as the value of x increases in which of the following equations?
选项 A、y = x
B、y = x-2
C、2-y = 3-x
D、2x-y = 4
E、x+2y=1
答案E
解析 下面哪个等式中的y值随x值的增加而减小?
解：本题的正确答案为(E)。此题也就是让考生找y是x的减函数的选项。而题目中的五个选项都是一次线性方程，我们知道对于一次方程y=kx+b来说，当k大于零时，y是x的减函数；当k小于零时，y是x的增函数。在本题的五个选项中只有(E)选项的k值等于-1/2小于零。
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