I still don’t understand why the answer can’t be D: y=2x+3? If you graph this on the graph, doesn’t it intersect y=2x+4? Because with y=2x+3, it starts at 3 and it goes up 2 and over 1 so just the first time it does that doesn’t it cross the origin of the absolute value graph? Does crossing the origin not mean intersect?

Since y = 2x+3 and y = 2x+4 both have the same slopes they will parallel to each other, and thus will never intersect. y = 2x+4 will be one point “higher” than y = 2x+3.

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Hi,

Would you please explain why the answers can’t be g(x) = x-2 or g(x)= x + 3? Thank you!

I still don’t understand why the answer can’t be D: y=2x+3? If you graph this on the graph, doesn’t it intersect y=2x+4? Because with y=2x+3, it starts at 3 and it goes up 2 and over 1 so just the first time it does that doesn’t it cross the origin of the absolute value graph? Does crossing the origin not mean intersect?

Hi Niraj,

Since y = 2x+3 and y = 2x+4 both have the same slopes they will parallel to each other, and thus will never intersect. y = 2x+4 will be one point “higher” than y = 2x+3.

Hope that helps!

Thanks!

Hey, I appreciate the explanation, makes perfect sense now!

Great! I’m happy it made things clear