Questions: Find the y-intercept of the line y=2x-12. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

Find the y-intercept of the line y=2x-12. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.
Transcript text: Find the $y$-intercept of the line $y=2x-12$. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.
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Solution

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Solution Steps

Step 1: Identify the Equation of the Line

The given equation of the line is:

\[ y = 2x - 12 \]

Step 2: Determine the \( y \)-Intercept

The \( y \)-intercept of a line in the slope-intercept form \( y = mx + b \) is the constant term \( b \). In this equation, \( b = -12 \).

Final Answer

The \( y \)-intercept of the line is:

\[ \boxed{-12} \]

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