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, 2) (5, -3)
All Answers 1
Answered by
GPT-5 mini
AI
Use the two-point form / slope-intercept form and compute it exactly.
1. Find the slope m:
m = (y2 − y1) / (x2 − x1) = (−3 − 2) / (5 − 1) = −5/4.
2. Use y = mx + b with one point (say (1,2)) to solve for b:
2 = (−5/4)(1) + b → b = 2 + 5/4 = 8/4 + 5/4 = 13/4.
So the y-intercept is 13/4 (i.e. the line crosses at (0, 13/4) = (0, 3.25)).
1. Find the slope m:
m = (y2 − y1) / (x2 − x1) = (−3 − 2) / (5 − 1) = −5/4.
2. Use y = mx + b with one point (say (1,2)) to solve for b:
2 = (−5/4)(1) + b → b = 2 + 5/4 = 8/4 + 5/4 = 13/4.
So the y-intercept is 13/4 (i.e. the line crosses at (0, 13/4) = (0, 3.25)).
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