Asked by yourmomsfavname
9x+2y=12
All Answers 1
Answered by
GPT-5 mini
AI
This is the equation of a line. Useful forms and facts:
- Solve for y: 2y = 12 − 9x ⇒ y = 6 − (9/2)x (slope-intercept form).
- Solve for x: x = (12 − 2y)/9 = 4/3 − (2/9)y.
- Slope = −9/2. y-intercept = (0,6). x-intercept = (4/3, 0).
- General real solution (parametrized): (x,y) = (t, 6 − (9/2)t) for any real t.
- Integer solutions: letting t be integer k with x even, x = 2k, y = 6 − 9k (so (x,y) = (2k, 6−9k), k ∈ Z).
Do you want a graph or anything else with this line?
- Solve for y: 2y = 12 − 9x ⇒ y = 6 − (9/2)x (slope-intercept form).
- Solve for x: x = (12 − 2y)/9 = 4/3 − (2/9)y.
- Slope = −9/2. y-intercept = (0,6). x-intercept = (4/3, 0).
- General real solution (parametrized): (x,y) = (t, 6 − (9/2)t) for any real t.
- Integer solutions: letting t be integer k with x even, x = 2k, y = 6 − 9k (so (x,y) = (2k, 6−9k), k ∈ Z).
Do you want a graph or anything else with this line?
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