What are the x-intercept and the y-intercept of the line?
Understand the Problem
The question is asking for the x-intercept and y-intercept of the line shown in the graph.
Answer
The x-intercept is $(0, 8)$ and the y-intercept is $(-2, 0)$.
Answer for screen readers
The x-intercept is $(0, 8)$ and the y-intercept is $(-2, 0)$.
Steps to Solve
- Identify the x-intercept
The x-intercept occurs where the line crosses the x-axis. At this point, the $y$ value is 0. From the graph, find where the line intersects the x-axis.
- Identify the y-intercept
The y-intercept occurs where the line crosses the y-axis. At this point, the $x$ value is 0. Look at the graph to find where the line intersects the y-axis.
- State the values of the intercepts
From the visual inspection of the graph:
- The x-intercept is where $y = 0$
- The y-intercept is where $x = 0$
The x-intercept is $(0, 8)$ and the y-intercept is $(-2, 0)$.
More Information
The x-intercept indicates the point at which the line crosses the x-axis, while the y-intercept shows where the line crosses the y-axis. This is crucial for understanding the line's behavior in the coordinate plane.
Tips
Mistakes often arise from misreading the graph, such as confusing the order of intercepts or miscalculating their values.
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