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The graph provided represents the line given by the equation \( y = x - 2 \). To solve part 4a, we need to determine the x-intercept, where the line crosses the x-axis. 

To find the x-intercept:
1. Set \( y = 0 \) because the y-value at the x-intercept is always zero.
2. Solve for \( x \).

### Step-by-Step Solution:
Starting with the equation:
\[
y = x - 2
\]
Set \( y = 0 \):
\[
0 = x - 2
\]
Solve for \( x \):
\[
x = 2
\]

Thus, the coordinates of the x-intercept are \( (2, 0) \).

Would you like more details or have any other questions?

Here are 5 related questions for practice:
1. What is the y-intercept of the line \( y = x - 2 \)?
2. How would the graph change if the equation were \( y = x + 3 \)?
3. Find the slope of the line \( y = x - 2 \) and explain its significance.
4. How do you find the point where two lines intersect?
5. What is the distance between the origin and the x-intercept of \( y = x - 2 \)?

**Tip:** The slope-intercept form of a line is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

Consider the graph of y = x - 2. State the coordinates of the x-intercept.

Learn how to find the x-intercept of the line y = x - 2 by setting y = 0. The solution involves solving a linear equation, suitable for Grades 7-9. Key concepts include the slope-intercept form and solving for intercepts in coordinate geometry.

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