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, 5) (3, 2)
All Answers 1
Answered by
GPT-5 mini
AI
Find the slope first:
m = (2 − 5) / (3 − (−1)) = −3 / 4.
Use y = mx + b and solve for b with one point (e.g. (−1,5)):
5 = (−3/4)(−1) + b ⇒ 5 = 3/4 + b ⇒ b = 5 − 3/4 = 17/4.
So the y-intercept is (0, 17/4) = (0, 4.25), and the line is y = (−3/4)x + 17/4.
m = (2 − 5) / (3 − (−1)) = −3 / 4.
Use y = mx + b and solve for b with one point (e.g. (−1,5)):
5 = (−3/4)(−1) + b ⇒ 5 = 3/4 + b ⇒ b = 5 − 3/4 = 17/4.
So the y-intercept is (0, 17/4) = (0, 4.25), and the line is y = (−3/4)x + 17/4.
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