SLOPE
Definition Of Slope
Slope is the measure of steepness of a line.
Slope 
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More About Slope
Slope of a curve: The slope of a curve is the slope of a line tangent to a particular point on the graph of the curve.
Slope-intercept form: An equation of the form y = mx + b, where m is the slope and b is the y-intercept.
Video Examples: Algebra - Slope
Example of Slope
Slope of the line shown 
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Solved Example on Slope
Ques: ABCD is a rectangle. The vertices of A are (- 7, - 5). Find the slope of the diagonal AC if the coordinate axes are the lines of symmetry for the rectangle shown.
Choices:
A. 5/7
B. 5/6
C. 7/5
D. 7/8
Correct Answer: A
Solution:
Step 1: The coordinate axes are the lines of symmetry for the rectangle shown.
Step 2: The coordinates of B, C, and D are B(7, - 5), C(7, 5), and D(- 7, 5).
Step 3: Slope of AC is
[Slope of line passing through (x 1, y 1) and (x 2, y 2) is .] 
Quick Summary
- Slope indicates the steepness of a line.
- Positive slope means the line goes upward from left to right.
- Negative slope means the line goes downward from left to right.
- Zero slope indicates a horizontal line.
- Undefined slope indicates a vertical line.
🍎 Teacher Insights
Use real-world examples like ramps or hills to illustrate the concept of slope. Emphasize the importance of consistent direction when calculating rise and run. Use graph paper to visually demonstrate different slopes.🎓 Prerequisites
- Basic Algebra
- Coordinate Plane
- Linear Equations
Check Your Knowledge
Q1: What is the slope of a line passing through points (1, 2) and (4, 8)?
Q2: A line has a slope of -1/3. Which direction does the line go?
Frequently Asked Questions
Q: What does a slope of 0 mean?
A: A slope of 0 means the line is horizontal. There is no vertical change (rise) between any two points on the line.
Q: What does an undefined slope mean?
A: An undefined slope means the line is vertical. The change in x (run) is zero, resulting in division by zero, which is undefined.