What is the slope of the graph of y = 1 4 27 x + 15 + 7 x in

Question

What is the slope of the graph of y = 1 4 27 x + 15 + 7 x in the xy -plane?

Accepted Answer

The correct answer is 55 4 . In the xy -plane, the graph of an equation in the form y = m x + b , where m and b are constants, has a slope of m and a y -intercept of 0 , b . Applying the distributive property to the right-hand side of the given equation yields y = 27 4 x + 15 4 + 7 x . Combining like terms yields y = 55 4 x + 15 4 . This equation is in the form y = m x + b , where m = 55 4 and b = 15 4 . It follows that the slope of the graph of y = 1 4 27 x + 15 + 7 x in the xy -plane is 55 4 . Note that 55/4 and 13.75 are examples of ways to enter a correct answer.

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