To determine the x-intercept and y-intercept of a linear function, we can refer to the definitions:
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The x-intercept is the point where the line crosses the x-axis. This occurs when \( y = 0 \). So, the x-intercept will be in the form \( (x, 0) \).
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The y-intercept is the point where the line crosses the y-axis. This occurs when \( x = 0 \). So, the y-intercept will be in the form \( (0, y) \).
From the options you provided, let's analyze them:
a) x-intercept: (6,0) y-intercept: (0,-3)
b) x-intercept: (0,6) y-intercept: (-3,0)
c) x-intercept: (-3,0) y-intercept: (0,6)
d) x-intercept: (0,-3) y-intercept: (6,0)
Based on these, you can identify the correct intercepts depending on the actual graph of the line.
However, I cannot see the graph you are referring to. Please review the graph and see which option correctly corresponds with the points where the line intersects the x-axis and y-axis, and select the appropriate option based on that visual.
If you provide more details or a description of the graph, I could help analyze it better!