Problem Analysis:
The image shows a graph of a linear equation in one variable. The key elements in the image are:
1. A vertical line labeled \( x = a \).
2. A point labeled \( (a, 0) \) on the x-axis.
3. The line intersects the x-axis at \( x = 2 \).
The task is to determine the value of \( a \) based on the given graph.
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Step-by-Step Solution:
#### 1. Understanding the Graph:
- The equation \( x = a \) represents a vertical line where the x-coordinate is constant and equal to \( a \) for all values of \( y \).
- The point \( (a, 0) \) lies on this vertical line and specifically on the x-axis. This means the y-coordinate of this point is 0.
#### 2. Identifying the Intersection Point:
- From the graph, the vertical line \( x = a \) intersects the x-axis at the point \( (2, 0) \).
- This indicates that the x-coordinate of the intersection point is 2.
#### 3. Determining the Value of \( a \):
- Since the vertical line is defined by \( x = a \) and it intersects the x-axis at \( (2, 0) \), the value of \( a \) must be the x-coordinate of this intersection point.
- Therefore, \( a = 2 \).
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Final Answer:
\[
\boxed{2}
\]
Parent Tip: Review the logic above to help your child master the concept of linear equation in one variable worksheet.
