📚 Topic Summary
Slope is a measure of how steep a line is. It tells us how much the line rises (or falls) for every unit it runs horizontally. We can calculate slope using two points on a line or by reading it directly from a graph. Understanding slope is essential for understanding linear relationships in math and science.
When given two points, $(x_1, y_1)$ and $(x_2, y_2)$, we use the formula: $slope = \frac{y_2 - y_1}{x_2 - x_1}$. On a graph, we look for the rise (vertical change) over the run (horizontal change). Let's get started with some practice!
🧮 Part A: Vocabulary
Match the terms with their definitions:
| Term |
Definition |
| 1. Slope |
A. The horizontal change between two points on a line. |
| 2. Rise |
B. A line that goes neither up nor down; has a slope of zero. |
| 3. Run |
C. The measure of steepness of a line. |
| 4. Positive Slope |
D. The vertical change between two points on a line. |
| 5. Horizontal Line |
E. A line that goes upwards from left to right. |
✍️ Part B: Fill in the Blanks
Complete the following paragraph using the words: steeper, rise, run, slope, points.
The ______ of a line describes its steepness. It is calculated as the ______ divided by the ______. You can find the slope using two ______ on the line. A larger slope value indicates a ______ line.
🤔 Part C: Critical Thinking
Explain, in your own words, how the slope of a roof might be important to consider when building a house.