Question
What is the \( y \)-intercept of this line? \[ y=\frac{x}{5}-12 \] \( b=[?] \)
Ask by Tucker Murray. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The \( y \)-intercept is \( -12 \).
Solution
1. The equation of the line is given by:
\[
y = \frac{x}{5} - 12
\]
2. The \( y \)-intercept occurs where \( x = 0 \). Substitute \( x = 0 \) into the equation:
\[
y = \frac{0}{5} - 12 = 0 - 12 = -12
\]
3. Therefore, the \( y \)-intercept is:
\[
b = -12
\]
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Simplify this solution Mind Expander
To find the \( y \)-intercept of the line given by the equation \( y = \frac{x}{5} - 12 \), you can simply set \( x = 0 \). Plugging it in gives \( y = \frac{0}{5} - 12 = -12 \). So, the \( y \)-intercept is at the point \( (0, -12) \). This means the line crosses the \( y \)-axis at -12, making it an important point for graphing the line!
