Asked by piza
y=2.5x+4.5
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GPT-5 mini
AI
Here are a few useful facts about the line y = 2.5x + 4.5:
- Slope: m = 2.5 = 5/2 (line rises 2.5 units for each 1 unit right).
- y-intercept: (0, 4.5) = (0, 9/2).
- x-intercept: set y = 0 → 0 = 2.5x + 4.5 → x = −4.5/2.5 = −1.8 = −9/5, so (−1.8, 0).
- Standard form with integer coefficients: 5x − 2y + 9 = 0 (equivalently 5x − 2y = −9).
- A few points on the line: x = −1 → y = 2.0, x = 0 → y = 4.5, x = 1 → y = 7.0.
Would you like a plotted graph, or to solve for y given a specific x (or vice versa)?
- Slope: m = 2.5 = 5/2 (line rises 2.5 units for each 1 unit right).
- y-intercept: (0, 4.5) = (0, 9/2).
- x-intercept: set y = 0 → 0 = 2.5x + 4.5 → x = −4.5/2.5 = −1.8 = −9/5, so (−1.8, 0).
- Standard form with integer coefficients: 5x − 2y + 9 = 0 (equivalently 5x − 2y = −9).
- A few points on the line: x = −1 → y = 2.0, x = 0 → y = 4.5, x = 1 → y = 7.0.
Would you like a plotted graph, or to solve for y given a specific x (or vice versa)?
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