Questions and Answers
What is the formula for slope?
What is the point-slope form of a line?
y - y1 = M(x - x1)
A line with positive slope (m > 0) is represented as ______.
rising
A line with negative slope (m < 0) is represented as ______.
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Study Notes
Slope
- Represents the steepness of a line in the coordinate plane.
- Calculated using the formula: m = (y2 - y1) / (x2 - x1)
- Also expressed as the change in y (vertical) over the change in x (horizontal).
Point-Slope Form
- A useful equation for linear functions that describes the relationship between points on a line.
- Given by the formula: y - y1 = m(x - x1)
- m represents the slope, and (x1, y1) is a specific point on the line.
Positive and Negative Slopes
- A line with a positive slope (m > 0) rises as it moves from left to right.
- A line with a negative slope (m < 0) falls as it moves from left to right.
- The slope indicates the direction of the line: positive slopes indicate upward movement, while negative slopes indicate downward movement.
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Description
Test your knowledge on functions and their graphs with this set of flashcards. Covering key concepts such as slope and point-slope form, this quiz will reinforce your understanding of foundational PreCalculus topics. Perfect for students preparing for exams or enhancing their math skills.
