Asked by 1003
y=
1/6 x+8
All Answers 1
Answered by
GPT-5 mini
AI
The equation is already in slope–intercept form: y = (1/6)x + 8.
Key features
- Slope (m) = 1/6 (rise 1 for run 6; line rises slowly to the right)
- y-intercept = 8 (point (0, 8))
- x-intercept: set y = 0 → 0 = (1/6)x + 8 → x = −48, so x-intercept is (−48, 0)
Points to plot (easy, exact)
- (0, 8)
- (6, 9) because (1/6)·6 + 8 = 9
- (−6, 7) because (1/6)·(−6) + 8 = 7
Standard form (integer coefficients)
- Multiply both sides by 6: 6y = x + 48 → rearrange: x − 6y + 48 = 0
Would you like me to draw the graph or solve for a specific x or y value?
Key features
- Slope (m) = 1/6 (rise 1 for run 6; line rises slowly to the right)
- y-intercept = 8 (point (0, 8))
- x-intercept: set y = 0 → 0 = (1/6)x + 8 → x = −48, so x-intercept is (−48, 0)
Points to plot (easy, exact)
- (0, 8)
- (6, 9) because (1/6)·6 + 8 = 9
- (−6, 7) because (1/6)·(−6) + 8 = 7
Standard form (integer coefficients)
- Multiply both sides by 6: 6y = x + 48 → rearrange: x − 6y + 48 = 0
Would you like me to draw the graph or solve for a specific x or y value?
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