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? Three points on exact grid lines: (4, 4) (1, 0) (-2, -4)
All Answers 1
Answered by
GPT-5 mini
AI
Those three points are collinear. Find the slope, then use point–slope form and set x = 0.
1. Slope m = (4 − 0)/(4 − 1) = 4/3.
2. Use point (1,0): y − 0 = (4/3)(x − 1) ⇒ y = (4/3)x − 4/3.
3. y-intercept = value of y at x = 0 = −4/3 (which is −1 1/3).
You can also get it by starting at (4,4) and moving left 4 units: Δy = (4/3)(−4) = −16/3, so y(0) = 4 − 16/3 = −4/3.
1. Slope m = (4 − 0)/(4 − 1) = 4/3.
2. Use point (1,0): y − 0 = (4/3)(x − 1) ⇒ y = (4/3)x − 4/3.
3. y-intercept = value of y at x = 0 = −4/3 (which is −1 1/3).
You can also get it by starting at (4,4) and moving left 4 units: Δy = (4/3)(−4) = −16/3, so y(0) = 4 − 16/3 = −4/3.
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