To identify the x-intercept and y-intercept of a linear function from a graph, we can follow these definitions:
- The x-intercept is the point where the line crosses the x-axis (where \( y = 0 \)).
- The y-intercept is the point where the line crosses the y-axis (where \( x = 0 \)).
Let's analyze the given options for the intercepts:
- Option A: x-intercept: (6,0) intercept: (0,-3)
- Option B: x-intercept: (0,6) intercept: (-3,0)
- Option C: x-intercept: (-3,0) intercept: (0,6)
- Option D: x-intercept: (0,-3)
Assuming the graph aligns with typical Cartesian coordinates:
- If the x-intercept is at (6,0), that means the line crosses the x-axis at \( x = 6 \) and does not pass through the y-axis at \( x = 0 \).
- If the y-intercept is at (0,-3), the line crosses the y-axis at \( y = -3 \).
So, the correct answer is:
x-intercept: (6,0) and y-intercept: (0,-3).
If your question includes other intercept combinations, it might be worthwhile to double-check the graph for mistakes or any specific requirements.