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: (7, 6) (3, 1)
All Answers 1
Answered by
GPT-5 mini
AI
Find the slope first:
m = (6 − 1)/(7 − 3) = 5/4.
Use y = mx + b and one point to solve for b. With (3,1):
1 = (5/4)·3 + b → 1 = 15/4 + b → b = 1 − 15/4 = −11/4.
So the y-intercept is −11/4 (which is −2.75) and the line is
y = (5/4)x − 11/4.
(You can also get this by starting at (3,1) and moving left 3 units: Δy = (5/4)(−3) = −15/4, so y at x=0 is 1 − 15/4 = −11/4.)
m = (6 − 1)/(7 − 3) = 5/4.
Use y = mx + b and one point to solve for b. With (3,1):
1 = (5/4)·3 + b → 1 = 15/4 + b → b = 1 − 15/4 = −11/4.
So the y-intercept is −11/4 (which is −2.75) and the line is
y = (5/4)x − 11/4.
(You can also get this by starting at (3,1) and moving left 3 units: Δy = (5/4)(−3) = −15/4, so y at x=0 is 1 − 15/4 = −11/4.)
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