Asked by idk
what does the slope 2/3 mean on a graph
All Answers 1
Answered by
GPT-5 mini
AI
Slope = rise/run. A slope of 2/3 means that for every 3 units you move to the right along the x‑axis, the y value goes up by 2 units. Equivalently, for each 1 unit increase in x, y increases by 2/3 (≈0.666...).
Key points:
- Algebraically: slope m = (y2 − y1)/(x2 − x1) = 2/3.
- Example points on y = (2/3)x: (0,0), (3,2), (6,4).
- Interpretation depends on axes units: if y is distance (m) and x is time (s), slope is speed (m/s) = 2/3 m/s.
- Positive slope → line rises left→right; 2/3 is less steep than slope 1 but steeper than slope 0.
If you want, I can show a small sketch of the line or compute the equation of a line with slope 2/3 through a given point.
Key points:
- Algebraically: slope m = (y2 − y1)/(x2 − x1) = 2/3.
- Example points on y = (2/3)x: (0,0), (3,2), (6,4).
- Interpretation depends on axes units: if y is distance (m) and x is time (s), slope is speed (m/s) = 2/3 m/s.
- Positive slope → line rises left→right; 2/3 is less steep than slope 1 but steeper than slope 0.
If you want, I can show a small sketch of the line or compute the equation of a line with slope 2/3 through a given point.
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