Question
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Find the -intercept of the line .
Write your answer as an integer or as a simplified proper or improper fraction, not as an
ordered pair.

Ask by Nguyen Thornton. in Guam
Mar 31,2025

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Answer

The -intercept is 7.

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Extra Insights

To find the -intercept of the line , we can set . Plugging this into the equation gives:
Thus, . Therefore, the -intercept is .
Now, just for a little extra twist! Did you know that the -intercept is basically the point where the line crosses the vertical -axis? It’s a bit like your fictional character going to the grocery store—if they start from home (the origin), the -intercept is just the first stop they make straight up the map!
For a bit of math-jazz, consider how changing the equation to different forms can shift the intercepts! For example, if you had and divided everything by 2 to simplify it to , guess what? Still hitting that same -intercept at ! It’s like finding a secret passage that leads you to the same treasure!

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