
Multiple Representations
Flashcard
•
Mathematics
•
6th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear equation?
Back
A linear equation is an equation that makes a straight line when graphed. It can be written in the form 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 y with respect to x. It indicates how steep the line is and the direction it goes (upward or downward).
3.
FLASHCARD QUESTION
Front
What is the y-intercept in a linear equation?
Back
The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the equation y = mx + b.
4.
FLASHCARD QUESTION
Front
How can you determine the equation of a line from a table of values?
Back
To determine the equation of a line from a table, find the rate of change (slope) between the x and y values, and then use one of the points to find the y-intercept.
5.
FLASHCARD QUESTION
Front
What does it mean for two equations to be equivalent?
Back
Two equations are equivalent if they have the same solution set, meaning they represent the same line when graphed.
6.
FLASHCARD QUESTION
Front
How do you identify the equation from a graph?
Back
To identify the equation from a graph, determine the slope and y-intercept from the graph, then use the slope-intercept form y = mx + b.
7.
FLASHCARD QUESTION
Front
What is the relationship between x and y in the equation y = 3x?
Back
In the equation y = 3x, for every unit increase in x, y increases by 3 units. This shows a direct proportional relationship.
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