The graph of the function f is a line in the xy-plane. If the line has slope and , which of the following defines f?
A
B
C
D
Correct answer: B
Explanation
Choice B is correct. The equation for the function f in the xy-plane can be represented by , where m is the slope and b is the y-coordinate of the y-intercept. Since it’s given that the line has a slope of , it follows that in , which yields . It’s given that . This implies that the graph of the function f in the xy-plane passes through the point . Thus, the y-coordinate of the y-intercept of the graph is 3, so in , which yields . Therefore, the equation defines the function f.
Choice A is incorrect and may result from a sign error for the y-intercept. Choice C is incorrect and may result from using the denominator of the given slope as m in , in addition to a sign error for the y-intercept. Choice D is incorrect and may result from using the denominator of the given slope as m in .
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id cb_question_bank:e1d70cc8-1439-4e21-9e1a-c8910e0e089b · question 2eef7e61 · IBN 029386-DC
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