linear relationships
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear relationship?
Back
A linear relationship is a relationship between two variables that can be represented by a straight line on a graph. It can be described by a linear equation of the form y = mx + b.
2.
FLASHCARD QUESTION
Front
What does 'm' represent in the equation y = mx + b?
Back
'm' represents the slope of the line, which indicates the rate of change of y with respect to x.
3.
FLASHCARD QUESTION
Front
What does 'b' represent in the equation y = mx + b?
Back
'b' represents the y-intercept, which is the point where the line crosses the y-axis.
4.
FLASHCARD QUESTION
Front
How do you determine if a relationship is proportional?
Back
A relationship is proportional if it can be expressed as y = kx, where k is a constant. The graph of a proportional relationship passes through the origin (0,0).
5.
FLASHCARD QUESTION
Front
What is the slope of a line?
Back
The slope of a line is a measure of its steepness, calculated as the rise (change in y) over the run (change in x).
6.
FLASHCARD QUESTION
Front
How can you find the slope from two points (x1, y1) and (x2, y2)?
Back
The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).
7.
FLASHCARD QUESTION
Front
What is the difference between a linear and a nonlinear relationship?
Back
A linear relationship can be represented by a straight line, while a nonlinear relationship cannot and may form curves or other shapes on a graph.
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