What is the slope of the graph of 10 x - 5 y = - 12 in the xy -plane?

Question

Accepted Answer

Choice D is correct. A linear equation can be written in the form y = m x + b , where m is the slope of the graph of the equation in the xy -plane and 0 , b is the y -intercept. Subtracting 10 x from each side of the given equation, 10 x - 5 y = - 12 , yields - 5 y = - 10 x - 12 . Dividing each side of this equation by - 5 yields y = 2 x + 12 5 . This equation is in the form y = m x + b , where m = 2 . Therefore, the slope of the graph of the given equation in the xy -plane is 2 . Choice A is incorrect and may result from conceptual or calculation errors. Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors.

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