What is the slope of the graph of y = 1/3 29x+10 +5x in the xy-plane?
Correct answer: 3 (parsed from the explanation — this source omits an answer key for this item)
Explanation
44 = + The correct answer is 3. A linear equation can be written in the form y mx b, 0, where m is the slope of the graph of the equation in the xy-plane and ^ bh is the 1 =1 29 +10+5 y-intercept. Distributing the 3 in the equation y 3^ x h x yields =29 +10+5 y 3 x 3 x. Combining like terms on the right-hand side of this equation =44 +10 = + =44 yields y 3 x 3. This equation is in the form y mx b, where m 3 and =10 b 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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