EOC Cateogory 2 - Describe & Graph Linear Functions
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
+11
Standards-aligned
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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 f(x) = mx + b, where m is the slope and b is the y-intercept.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
2.
FLASHCARD QUESTION
Front
How do you determine the slope of a linear function from a graph?
Back
The slope of a linear function can be determined by selecting two points on the line, calculating the change in y (rise) and the change in x (run), and then using the formula slope (m) = rise/run.
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
What does the rate of change represent in a linear function?
Back
The rate of change in a linear function represents how much the dependent variable (y) changes for a unit change in the independent variable (x). It is equivalent to the slope of the line.
Tags
CCSS.HSF-LE.A.1B
4.
FLASHCARD QUESTION
Front
What is the significance of the y-intercept in a linear function?
Back
The y-intercept is the point where the graph of the function crosses the y-axis. It represents the value of the dependent variable when the independent variable is zero.
5.
FLASHCARD QUESTION
Front
How can you identify a linear relationship from a table of values?
Back
A linear relationship can be identified from a table of values if the differences between consecutive y-values divided by the differences between consecutive x-values are constant.
Tags
CCSS.HSF-LE.A.1B
6.
FLASHCARD QUESTION
Front
What does it mean for two variables to have a causal relationship?
Back
A causal relationship means that a change in one variable directly causes a change in another variable. This is different from correlation, where two variables may change together without one causing the other.
7.
FLASHCARD QUESTION
Front
How do you graph a linear equation in standard form?
Back
To graph a linear equation in standard form (Ax + By = C), you can find the x-intercept and y-intercept, plot these points on the graph, and then draw a straight line through them.
Tags
CCSS.HSF-IF.C.7A
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