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Question: The graph of y = 2x + 3 is translated 4 units up and 2 units left. What is the slope of the translated graph?


A ) 4
B ) 3
C ) -3
D ) 2

Steps to derive

1 Equation of the graph y = 2x + 3

2 If the graph translated 4 units up and 2 units left then the equation of the new graph is (y - 4) = 2(x + 2) + 3.

3 y = 2x + 11
 [Add 4 on each side and simplify.]

4 Image of the graph after the translation is y = 2x + 11.

5 Slope of the graph y = 2x + 11 is 2.
 [Since the equation is in the form of y = mx + c.]



Hence the right answer is Option D

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