Writing, Interpreting, & Analyzing Linear Functions

Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear function?
Back
A linear function is a function that graphs to a straight line. It can be expressed 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 linear function represent?
Back
The slope 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
What is the y-intercept in a linear function?
Back
The y-intercept is the point where the line crosses the y-axis. It represents the value of y when x is 0.
4.
FLASHCARD QUESTION
Front
How do you write an equation for a linear function given a slope and a y-intercept?
Back
The equation can be written in the form y = mx + b, where m is the slope and b is the y-intercept.
5.
FLASHCARD QUESTION
Front
What does it mean if the slope is negative in a linear function?
Back
A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship.
6.
FLASHCARD QUESTION
Front
How can you determine the slope from two points on a line?
Back
The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.
7.
FLASHCARD QUESTION
Front
What is the significance of the y-intercept in real-world problems?
Back
The y-intercept often represents the starting value or initial condition of a situation before any changes occur.
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