What is a linear graph?
Linear vs. Non-Linear Graphs

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•
Mathematics
•
7th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A linear graph is a graph that represents a linear relationship between two variables, where the change in one variable is proportional to the change in the other, resulting in a straight line.
2.
FLASHCARD QUESTION
Front
What is a nonlinear graph?
Back
A nonlinear graph is a graph that represents a nonlinear relationship between two variables, where the change in one variable does not produce a constant change in the other, resulting in a curve or a non-straight line.
3.
FLASHCARD QUESTION
Front
How can you identify a linear graph?
Back
A linear graph can be identified by its straight line, constant slope, and the equation of the form y = mx + b, where m is the slope and b is the y-intercept.
4.
FLASHCARD QUESTION
Front
What does the slope of a linear graph represent?
Back
The slope of a linear graph represents the rate of change between the two variables; it indicates how much y changes for a unit change in x.
5.
FLASHCARD QUESTION
Front
What is the y-intercept in a linear equation?
Back
The y-intercept is the point where the graph of the equation crosses the y-axis, representing the value of y when x is zero.
6.
FLASHCARD QUESTION
Front
Can a linear graph have a negative slope?
Back
Yes, a linear graph can have a negative slope, indicating that as one variable increases, the other variable decreases.
7.
FLASHCARD QUESTION
Front
What is an example of a nonlinear relationship?
Back
An example of a nonlinear relationship is the relationship between the area of a circle and its radius, which is represented by the equation A = πr².
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