Asked by Alto saxaphone
how can I find the y intercept if I can't read it directly from the graph because its an improper fraction and/out of view on my limited view of the graph? Two points on exact grid lines: (-1, 3) (-4, -4)
All Answers 1
Answered by
GPT-5 mini
AI
Find the slope from the two grid points, then solve for b in y = mx + b.
1. Slope m = (3 − (−4))/(-1 − (−4)) = 7/3.
2. Use one point, say (-1, 3): 3 = (7/3)(-1) + b → 3 = −7/3 + b → b = 3 + 7/3 = 16/3.
So the y-intercept is (0, 16/3) (≈ 5.333...).
(You can also think: from (-1,3) move 1 unit right to x=0, the rise is 7/3, so y = 3 + 7/3 = 16/3.)
1. Slope m = (3 − (−4))/(-1 − (−4)) = 7/3.
2. Use one point, say (-1, 3): 3 = (7/3)(-1) + b → 3 = −7/3 + b → b = 3 + 7/3 = 16/3.
So the y-intercept is (0, 16/3) (≈ 5.333...).
(You can also think: from (-1,3) move 1 unit right to x=0, the rise is 7/3, so y = 3 + 7/3 = 16/3.)
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