What is the definition of 'constant rate of change'?
7.4A & 7.7A Constant Rate of Change & Linear Relationships

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Mathematics
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7th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A constant rate of change refers to a situation where the change in one quantity is consistent with the change in another quantity over time, often represented as a linear relationship.
2.
FLASHCARD QUESTION
Front
How do you identify the rate of change from a graph?
Back
The rate of change can be identified by calculating the slope of the line on the graph, which is the change in the y-values divided by the change in the x-values.
3.
FLASHCARD QUESTION
Front
What does a linear relationship look like on a graph?
Back
A linear relationship appears as a straight line on a graph, indicating a constant rate of change between the two variables.
4.
FLASHCARD QUESTION
Front
What is the formula for calculating the slope (rate of change) between two points (x1, y1) and (x2, y2)?
Back
The formula for slope is given by: \( m = \frac{{y2 - y1}}{{x2 - x1}} \)
5.
FLASHCARD QUESTION
Front
What does the slope of a line represent in a real-world context?
Back
The slope represents the rate at which one quantity changes in relation to another, such as speed, cost per item, or profit per hour.
6.
FLASHCARD QUESTION
Front
What is the equation of a line in slope-intercept form?
Back
The equation of a line in slope-intercept form is given by: \( y = mx + b \) where \( m \) is the slope and \( b \) is the y-intercept.
7.
FLASHCARD QUESTION
Front
How can you determine the y-intercept from a linear equation?
Back
The y-intercept can be determined from the equation \( y = mx + b \) as the value of \( b \), which is the point where the line crosses the y-axis.
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