What value best represents the y-intercept of the line?
Understand the Problem
The question is asking for the y-intercept value of a linear function represented in the provided graph. To find this, we look for the point where the line crosses the y-axis.
Answer
The y-intercept value is $-3$.
Answer for screen readers
The y-intercept value of the line is $-3$.
Steps to Solve
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Identify the Y-Intercept
Look at the graph where the line crosses the y-axis. This point represents the y-intercept. -
Read the Value
Find the point on the y-axis where the line intersects. In this case, it crosses at the point $(0, -3)$. -
Determine the Y-Intercept Value
The y-coordinate of the y-intercept point is the y-intercept value. Here, the value is $-3$.
The y-intercept value of the line is $-3$.
More Information
The y-intercept is a fundamental characteristic of a linear function, representing the value of $y$ when $x = 0$. In this case, the line intersects the y-axis at $-3$, indicating that the function has a negative y-intercept.
Tips
- Misreading the graph: Ensure you accurately identify the point where the line meets the y-axis.
- Confusing the x-coordinate with the y-coordinate: Remember that the y-intercept is always where $x = 0$.
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