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Algebra
/ Linear equations in two variables
Difficulty: Medium
What is the slope of the graph of in the xy-plane?
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Explanation
The correct answer is . In the xy-plane, the graph of an equation in the form , where and are constants, has a slope of and a y-intercept of . Applying the distributive property to the right-hand side of the given equation yields . Combining like terms yields . This equation is in the form , where and . It follows that the slope of the graph of in the xy-plane is . Note that 55/4 and 13.75 are examples of ways to enter a correct answer.