Constant of Proportionality (Graphs)

Flashcard
•
Mathematics
•
7th Grade
•
Hard
+4
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1.
FLASHCARD QUESTION
Front
What is the definition of the constant of proportionality?
Back
The constant of proportionality is the constant factor (k) that relates two proportional quantities in the equation y = kx.
Tags
CCSS.7.RP.A.2B
2.
FLASHCARD QUESTION
Front
How do you identify the constant of proportionality in an equation?
Back
The constant of proportionality can be identified as the coefficient of x in the equation y = kx.
Tags
CCSS.7.RP.A.2C
3.
FLASHCARD QUESTION
Front
If y = 5x, what is the constant of proportionality?
Back
The constant of proportionality is 5.
Tags
CCSS.7.RP.A.2B
4.
FLASHCARD QUESTION
Front
What is the relationship between the constant of proportionality and the slope of a graph?
Back
In a graph of y = kx, the constant of proportionality (k) represents the slope of the line.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
5.
FLASHCARD QUESTION
Front
How does changing the constant of proportionality affect the graph of the equation y = kx?
Back
Changing the constant of proportionality alters the steepness of the line; a larger k results in a steeper line, while a smaller k results in a flatter line.
Tags
CCSS.8.EE.B.5
6.
FLASHCARD QUESTION
Front
What does it mean if the constant of proportionality is negative?
Back
If the constant of proportionality is negative, the graph of the equation y = kx will slope downwards from left to right.
Tags
CCSS.8.EE.B.5
7.
FLASHCARD QUESTION
Front
Can the constant of proportionality be zero? What does it represent?
Back
Yes, if the constant of proportionality is zero, the equation becomes y = 0, which represents a horizontal line on the graph.
Tags
CCSS.8.EE.B.5
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