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I was helping my sister with her high school geometry homework, and she had to graph the absolute value function y=lx+6l using two linear equations. The way i did it was different than the way her book showed. Basically, I told her that when removing the absolute value you can get to distinct equations:

y=x+6and -y=x+6 which becomesy=-x-6

I then told her that you can find the intersection point by setting the equations equal to each other, and solve for x. After getting the x-coordinate, you plug it back into the original equation to find the y coordinate. This will then give you the (x,y) coordinate point at which these two lines will intersect.

So at (-6,0) these lines will intersect.

I then told her to graph the two lines, making sure they intersect at this point.

To find the region on the graph that represents the absolute value function, I explained to her that y≥0. So the region on the graph that satisfied that condition represented the absolute value function.

Now, her teacher said something along the line that my method was wrong? Can someone please clarify what I did wrong? Thanks.

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# Homework Help: Did I explain this right? Basic absolute value functions

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