Linear Relationships Study Guide
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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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 the equation y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
What does the slope of a line represent?
Back
The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.
3.
FLASHCARD QUESTION
Front
How do you calculate the slope between two points (x1, y1) and (x2, y2)?
Back
The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).
4.
FLASHCARD QUESTION
Front
What is the y-intercept of a line?
Back
The y-intercept is the point where the line crosses the y-axis. It is represented by the value of y when x = 0.
5.
FLASHCARD QUESTION
Front
What does it mean if a line has an undefined slope?
Back
A line has an undefined slope if it is vertical, meaning it goes straight up and down. This occurs when the x-coordinates of two points on the line are the same.
6.
FLASHCARD QUESTION
Front
What is the difference between positive and negative slope?
Back
A positive slope means that as x increases, y also increases, resulting in an upward slant. A negative slope means that as x increases, y decreases, resulting in a downward slant.
7.
FLASHCARD QUESTION
Front
If two lines have the same slope, what can be said about their relationship?
Back
If two lines have the same slope, they are parallel and will never intersect.
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