📝 Practice Worksheets
🛠️ Related Tools
🔑 Key Concepts
- Slope measures the steepness and direction of a line.
- Use \(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\) to calculate slope from two points.
- Subtract the coordinates in the same order in the numerator and denominator.
- The change in \(y\) is the rise, and the change in \(x\) is the run.
- A positive slope rises from left to right, while a negative slope falls from left to right.
- A line has zero slope when its two points have the same y-coordinate.
🧠 Math Vocabulary
- Slope: The rate of change of a line, calculated as rise divided by run.
- Rise: The vertical change between two points, found by subtracting their y-values.
- Run: The horizontal change between two points, found by subtracting their x-values.
- Positive slope: A slope that rises from left to right.
- Negative slope: A slope that falls from left to right.
- Zero slope: The slope of a horizontal line.
💡 Main Idea
To find slope from two points, subtract the y-values to find the rise and subtract the x-values in the same order to find the run. Simplify the ratio \(\displaystyle \frac{\Delta y}{\Delta x}\) and use its sign to determine whether the line rises, falls, or remains horizontal.
📚 What You Should Already Know
Students should know how to read ordered pairs, subtract positive and negative integers, simplify fractions, and identify horizontal and vertical changes on a coordinate plane.
🚀 What Comes Next
Students will use slope to write equations in slope-intercept form, compare rates of change, graph linear equations, and analyze linear relationships represented by tables, graphs, equations, and real-world situations.
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