The graph of the equation is a line in the xy -plane, where a and k are constants. If the

Question

The graph of the equation is a line in the xy -plane, where a and k are constants. If the line contains the points and , what is the value of k ?

Accepted Answer

Choice A is correct. The value of k can be found using the slope-intercept form of a linear equation, , where m is the slope and b is the y -coordinate of the y -intercept. The equation can be rewritten in the form . One of the given points, , is the y -intercept. Thus, the y -coordinate of the y -intercept must be equal to . Multiplying both sides by k gives . Dividing both sides by gives . Choices B, C, and D are incorrect and may result from errors made rewriting the given equation.

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