What value best represents the y-intercept of the line?
Understand the Problem
The question is asking for the y-intercept of a linear function represented by a graph. This involves identifying the point where the line intersects the y-axis on the grid provided.
Answer
The y-intercept is $-2$.
Answer for screen readers
The y-intercept of the line is $-2$.
Steps to Solve
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Locate the y-axis
First, identify the y-axis on the graph. The y-axis is the vertical line where $x = 0$. -
Find the intersection point
Next, look at where the line crosses the y-axis. This point is where the value of $x$ is 0. -
Determine the y-coordinate of the intersection
Observe the y-coordinate of the intersecting point. In this case, it is the value of $y$ when $x = 0$. -
Write down the y-intercept value
Based on the graph, identify and write down the y-coordinate at the point where the line intersects the y-axis; this value represents the y-intercept.
The y-intercept of the line is $-2$.
More Information
A y-intercept is an important concept in linear equations, indicating where the graph intersects the y-axis. It helps define the behavior of linear functions and is often used to find the equation of the line.
Tips
- Focusing on the x-axis instead of the y-axis: Ensure you only look at where the line crosses the y-axis.
- Not recognizing the correct point of intersection: Double-check the line for accuracy; sometimes it can be close to another integer, so it's good to verify.
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