Y-Intercept Guided Notes
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Y-Intercept Guided Notes with Answer Key
📚 Part 1: Understanding Y-Intercept
What is the Y-Intercept?
The y-intercept is the point where a line crosses the y axis. It occurs when x = 0.
How to Find the Y-Intercept:
In the equation y = mx + b, the y-intercept is represented by the letter b.
Answer: 3 - In y = mx + b form, the constant term (b) is the y-intercept.
Answer: 7 - The y-intercept is the constant term. Note: (0, 7) would be the coordinate form.
Explanation: The x-coordinate is always 0 because the y-intercept occurs where the line crosses the y-axis.
📊 Part 2: Graph Analysis
Graph Space: Your teacher will provide a graph showing a line with labeled y-intercept
Explanation: Find where the line crosses the y-axis and read the y-coordinate value.
Answer: It moves the line up or down - The y-intercept determines the vertical position of the line.
🔮 Part 3: Prediction Exercise
Answer: Down 3 units - The y-intercept changes from +1 to -2, a difference of 3 units downward.
y = 2x + 4 → y-intercept: (0, 4)
y = 2x + 1 → y-intercept: (0, 1)
y = 2x - 3 → y-intercept: (0, -3)
Explanation: The y-intercept is always the constant term in the equation.
🎯 Answer Key Summary
Key Concepts:
- Y-intercept definition: The point where a line crosses the y-axis (when x = 0)
- In y = mx + b: The y-intercept is the value 'b'
- Coordinate form: Y-intercept is written as (0, b)
- Effect on graph: Changing the y-intercept moves the line vertically up or down
- Prediction rule: If y-intercept increases by n units, the line shifts up n units
Quick Reference - Answer Key:
1. 3 | 2. 7 | 3. (0, b) | 4. Varies by graph | 5. Moves line up/down
6. Shifts up 3 units | 7. Down 3 units | 8. (0, -3) | 9. Line shifts upward
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