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Advanced Math / Nonlinear functions Difficulty: Hard

y=5762x+2

The graph of the given equation in the xy-plane has a y-intercept of r,s. Which of the following equivalent equations displays the value of s as a constant, a coefficient, or the base?

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Explanation

Choice A is correct. The y-intercept of a graph in the xy-plane is the point where x = 0 . Substituting 0 for x in the given equation, y=5762x+2, yields y=57620+2, which is equivalent to y=5762, or y = 331,776 . Therefore, the graph of the given equation in the xy-plane has a y-intercept of 0,331,776. It follows that r = 0 and s = 331,776 . Thus, the equivalent equation y=331,776x+1 displays the value of s as the base.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.