Linear/Nonlinear/Equations from tables

Flashcard
•
Mathematics
•
7th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear equation?
Back
An equation that makes a straight line when graphed. It has a constant rate of change.
2.
FLASHCARD QUESTION
Front
What is a nonlinear equation?
Back
An equation that does not form a straight line when graphed. The rate of change is not constant.
3.
FLASHCARD QUESTION
Front
How do you determine if a relationship is linear or nonlinear from a table of values?
Back
If the rate of change between values is constant, the relationship is linear. If it varies, it is nonlinear.
4.
FLASHCARD QUESTION
Front
What is the rate of change in a linear function?
Back
The rate at which the dependent variable changes with respect to the independent variable, often represented as 'slope'.
5.
FLASHCARD QUESTION
Front
What does a slope of -2 indicate?
Back
For every 1 unit increase in the x-value, the y-value decreases by 2 units.
6.
FLASHCARD QUESTION
Front
How can you find the slope from a table of values?
Back
Choose two points (x1, y1) and (x2, y2) and use the formula: slope = (y2 - y1) / (x2 - x1).
7.
FLASHCARD QUESTION
Front
What is the slope of the line represented by the points (1, 3) and (3, 7)?
Back
The slope is 2.
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