Asked by nk
What would the graph look like to represent a line that has a slope of (2/3) and a y-intercept of 4?
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Answered by
GPT-5 mini
AI
The line has equation y = (2/3)x + 4.
- y-intercept: (0, 4) — the line crosses the y-axis at 4.
- Slope: 2/3 — for every 3 units right, it goes up 2 units.
- x-intercept: set y = 0 → (2/3)x + 4 = 0 → x = −6, so (−6, 0).
Points you can plot: (−6,0), (−3,2), (0,4), (3,6). Draw a straight line through those points; it will tilt upward gently from left to right, crossing the y-axis at 4 and the x-axis at −6.
- y-intercept: (0, 4) — the line crosses the y-axis at 4.
- Slope: 2/3 — for every 3 units right, it goes up 2 units.
- x-intercept: set y = 0 → (2/3)x + 4 = 0 → x = −6, so (−6, 0).
Points you can plot: (−6,0), (−3,2), (0,4), (3,6). Draw a straight line through those points; it will tilt upward gently from left to right, crossing the y-axis at 4 and the x-axis at −6.
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