Question
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.
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
Upstudy AI Solution
Tutor-Verified Answer
Answer
The
-intercept is 7.
Solution

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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!