📚 Topic Summary
The y-intercept is the point where a line crosses the y-axis on a graph. It's the value of $y$ when $x$ is zero. Think of it as the starting point of a line! When interpreting it, you're figuring out what that starting value means in a real-world situation. For example, if you're looking at a graph of the cost of a taxi ride, the y-intercept might represent the initial fee you pay before you even travel any distance. Understanding the y-intercept helps you make sense of linear relationships and predictions.
🗂️ Part A: Vocabulary
Match the term with its definition.
| Term |
Definition |
| 1. Y-intercept |
A. The point where the line crosses the x-axis. |
| 2. X-intercept |
B. A straight line on a graph represented by a linear equation. |
| 3. Linear Equation |
C. The point where the line crosses the y-axis. |
| 4. Slope |
D. The rise over run or the change in y divided by the change in x. |
| 5. Coordinate Plane |
E. A two-dimensional plane formed by the intersection of a horizontal number line (x-axis) and a vertical number line (y-axis). |
✍️ Part B: Fill in the Blanks
Complete the following paragraph with the correct words:
The _______ is the point where the line intersects the _______. It represents the value of $y$ when $x$ is _______. In a real-world context, it often signifies a _______ value or starting point. Understanding this helps us interpret graphs and equations.
🤔 Part C: Critical Thinking
Imagine you are tracking the growth of a plant. The y-intercept on your graph is 2 inches. What does this tell you about the plant?