Question
Graph the line that passes through the coordinates shown and dete A. The line that passes through the given coordinates represents a proportional relationship because the line passes through the origin. B. The line that passes through the given coordinates represents a proportional relationship because the line does not pass through the origin. C. The line that passes through the given coordinates does not represent a proportional relationship because the line passes through the origin. D. The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.
Ask by Mann Bird. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The line represents a proportional relationship because it passes through the origin.
Solution
A proportional relationship is one in which the ratio between the two variables remains constant. This means that the graph of a proportional relationship is a straight line that passes through the origin (0,0). Since the line in the problem passes through the origin, it represents a proportional relationship.
Thus, the correct answer is:
A. The line that passes through the given coordinates represents a proportional relationship because the line passes through the origin.
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Simplify this solution Bonus Knowledge
When graphing lines that represent relationships, remember that a line is proportional if it goes through the origin (0,0). This means that there is a constant ratio between the x and y values. If your line hugs the origin, then you’re golden! However, if your line intersects the y-axis at a value other than zero, it indicates a non-proportional relationship. Common pitfalls include misidentifying the line's passage through the origin—always double-check your coordinates to confirm if they fit that golden criteria for proportionality! Happy graphing!
