Questions and Answers
What is a linear function?
What is the formula for the rate of change?
change in one quantity / change in another quantity
What is slope?
rise/run
What is the slope-intercept form of a linear equation?
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What is the definition of the y-intercept?
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What does an ordered pair refer to?
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What are the coordinates of the origin?
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What does the y-coordinate represent in a graph?
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What does the x-coordinate represent in a graph?
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To find slope you need to calculate ________.
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Study Notes
Linear Functions
- A linear function represents a relationship depicted as a straight line on a graph.
Rate of Change
- Compares the change between two varying quantities.
- Formula: Rate of change = change in one quantity / change in another quantity.
Slope
- The slope measures the steepness of a line.
- Calculated as: Slope = rise (vertical change) / run (horizontal change).
Slope-Intercept Form
- The mathematical representation of a line is y = mx + b.
- Here, m represents the slope and b is the y-intercept.
Slope of a Line
- Slope is determined using the change in the y-coordinate divided by the change in the x-coordinate.
- Formula: Slope = change in y / change in x.
Y-Intercept
- The y-intercept is where the line crosses the y-axis of a graph.
Ordered Pair
- Represents coordinates on a graph, formatted as (x, y).
Origin
- The point (0, 0) where both the x-axis and y-axis intersect.
Y Coordinate
- Indicates vertical position on a graph, aligned with the y-axis.
X Coordinate
- Indicates horizontal position on a graph, aligned with the x-axis.
Finding Slope
- To determine the slope of a line, calculate the rise over the run (rise/run).
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Description
Explore key concepts in graphing functions with these flashcards. Learn about linear functions, rates of change, and slope, all essential topics in pre-algebra. Perfect for students looking to enhance their understanding of mathematical functions.