7.3 Comparing Linear Functions
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a linear function?
Back
A linear function is a function that can be graphically represented as a straight line. It has 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 linear function represent?
Back
The slope of a linear function represents the rate of change of the function. It indicates how much the y-value changes for a one-unit increase in the x-value.
3.
FLASHCARD QUESTION
Front
How do you find the slope from a table of values?
Back
To find the slope from a table of values, select two points (x1, y1) and (x2, y2) and use the formula: slope (m) = (y2 - y1) / (x2 - x1).
4.
FLASHCARD QUESTION
Front
What is the y-intercept in a linear function?
Back
The y-intercept is the value of y when x is 0. It is the point where the line crosses the y-axis.
5.
FLASHCARD QUESTION
Front
How can you compare the slopes of two linear functions?
Back
To compare the slopes, identify the slope (m) from the equations of both functions. The function with the greater slope has a greater rate of change.
6.
FLASHCARD QUESTION
Front
What does it mean if two linear functions have the same slope?
Back
If two linear functions have the same slope, they have the same rate of change, meaning they increase or decrease at the same rate.
7.
FLASHCARD QUESTION
Front
How do you determine which service is cheaper using linear equations?
Back
To determine which service is cheaper, calculate the total cost for the same number of items (e.g., movies) using the equations and compare the results.
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