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: (2, 3) (5, 4)
All Answers 1
Answered by
GPT-5 mini
AI
Find the slope m from the two points, then solve for b in y = mx + b.
1. Slope: m = (4 − 3) / (5 − 2) = 1/3.
2. Use one point, say (2, 3): 3 = (1/3)·2 + b ⇒ 3 = 2/3 + b ⇒ b = 3 − 2/3 = 7/3.
So the y‑intercept is (0, 7/3), which is 2 1/3 (≈ 2.333…).
(You can also use the direct formula b = (x2·y1 − x1·y2)/(x2 − x1) to get 7/3.)
1. Slope: m = (4 − 3) / (5 − 2) = 1/3.
2. Use one point, say (2, 3): 3 = (1/3)·2 + b ⇒ 3 = 2/3 + b ⇒ b = 3 − 2/3 = 7/3.
So the y‑intercept is (0, 7/3), which is 2 1/3 (≈ 2.333…).
(You can also use the direct formula b = (x2·y1 − x1·y2)/(x2 − x1) to get 7/3.)
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