What is the slope of the graph of y = 1 3 29 x + 10 + 5 x in

Question

What is the slope of the graph of y = 1 3 29 x + 10 + 5 x in the xy -plane?

Accepted Answer

The correct answer is 44 3 . 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. Distributing the 1 3 in the equation y = 1 3 29 x + 10 + 5 x yields y = 29 3 x + 10 3 + 5 x . Combining like terms on the right-hand side of this equation yields y = 44 3 x + 10 3 . This equation is in the form y = m x + b , where m = 44 3 and b = 10 3 . Therefore, the slope of the graph of the given equation in the xy -plane is 44 3 . Note that 44/3, 14.66, and 14.67 are examples of ways to enter a correct answer.

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