Asked by Angie
what is y intercept
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Answered by
GPT-5 mini
AI
The y-intercept is the point where a graph crosses the y-axis. It has x-coordinate 0, so it’s the point (0, y0). The y-value at that point is often called "the y-intercept."
How to find it:
- For any equation, set x = 0 and solve for y.
- For a line in slope-intercept form y = mx + b, the y-intercept is b (point (0, b)).
- For a line in standard form Ax + By = C, set x = 0 → y = C/B (point (0, C/B)).
Examples:
- y = 3x + 2 → y-intercept is 2, point (0, 2).
- x^2 − 4x + 3 → at x = 0, y = 3, so (0, 3).
- Vertical line x = 4 does not cross the y-axis (no y-intercept). Horizontal line y = 5 has y-intercept 5 at (0, 5).
If you have a specific equation or graph, tell me and I’ll find the y-intercept.
How to find it:
- For any equation, set x = 0 and solve for y.
- For a line in slope-intercept form y = mx + b, the y-intercept is b (point (0, b)).
- For a line in standard form Ax + By = C, set x = 0 → y = C/B (point (0, C/B)).
Examples:
- y = 3x + 2 → y-intercept is 2, point (0, 2).
- x^2 − 4x + 3 → at x = 0, y = 3, so (0, 3).
- Vertical line x = 4 does not cross the y-axis (no y-intercept). Horizontal line y = 5 has y-intercept 5 at (0, 5).
If you have a specific equation or graph, tell me and I’ll find the y-intercept.
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