https://file.aiquickdraw.com/mathbot/file/1726879985224pv3ynmml.jpg

Let's solve for the x-intercepts of Line A and Line B.

### For Line A:
The equation of Line A is given as:
\[
y = -\frac{2}{3}x - 4
\]
To find the x-intercept, set \( y = 0 \) and solve for \( x \):
\[
0 = -\frac{2}{3}x - 4
\]
\[
\frac{2}{3}x = -4
\]
Multiply both sides by 3 to eliminate the fraction:
\[
2x = -12
\]
Now, divide by 2:
\[
x = -6
\]
Thus, the x-intercept of Line A is \( x = -6 \).

### For Line B:
From the graph, the x-intercept of Line B occurs at the point where the line crosses the x-axis. By examining the graph, we see that Line B crosses the x-axis at \( x = 3 \).

### Conclusion:
- The x-intercept of Line A is \( -6 \).
- The x-intercept of Line B is \( 3 \).

Thus, the x-intercept of Line A is less than the x-intercept of Line B.

Do you need more details or explanations on any part?

Here are 5 related questions to explore further:
1. What is the y-intercept of Line A based on its equation?
2. Can you derive the slope of Line B from the graph?
3. How do you find the slope-intercept form from two points on a graph?
4. What is the relationship between the slopes of two lines if they are parallel?
5. What happens to the x-intercept if the slope of a line changes?

**Tip:** The x-intercept is always found by setting \( y = 0 \) in the equation of the line.

Find the x-intercept of each line defined below and compare their values. The equation of Line A is y = -(2/3)x - 4, and the graph of Line B is shown.

Learn how to find the x-intercepts of a linear equation and a graphed line. This example uses the equation y = -(2/3)x - 4 and compares it to a line from a graph. Explore key concepts in linear equations and x-intercepts for students in Grades 8-10.

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