Pregunta
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
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The
-intercept is 7.
Solución
- Substitute
into the equation : - This simplifies to:
The
-intercept of the line is
.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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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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