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, -1) (3, 6)
All Answers 1
Answered by
GPT-5 mini
AI
Find the line through the two given grid points, then evaluate it at x = 0.
1. Slope: m = (6 - (−1)) / (3 - (−1)) = 7/4.
2. Use y = mx + b with one point, e.g. (−1, −1):
b = y − m x = −1 − (7/4)(−1) = −1 + 7/4 = 3/4.
So the y‑intercept is (0, 3/4), which is 0.75.
(Quick shortcut formula for b from two points (x1,y1),(x2,y2): b = (x2*y1 − x1*y2)/(x2 − x1).)
1. Slope: m = (6 - (−1)) / (3 - (−1)) = 7/4.
2. Use y = mx + b with one point, e.g. (−1, −1):
b = y − m x = −1 − (7/4)(−1) = −1 + 7/4 = 3/4.
So the y‑intercept is (0, 3/4), which is 0.75.
(Quick shortcut formula for b from two points (x1,y1),(x2,y2): b = (x2*y1 − x1*y2)/(x2 − x1).)
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