Comparing Linear Functions

Flashcard
•
Mathematics
•
8th Grade
•
Hard
+4
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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.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
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.
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
How do you find the slope from a graph?
Back
To find the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and then use the formula slope = rise/run.
Tags
CCSS.8.EE.B.5
4.
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 is represented by the value of b in the equation y = mx + b.
5.
FLASHCARD QUESTION
Front
How can you determine if two linear functions have the same slope?
Back
Two linear functions have the same slope if their equations have the same value of m in the slope-intercept form y = mx + b.
Tags
CCSS.8.F.A.2
CCSS.HSF.IF.C.9
6.
FLASHCARD QUESTION
Front
What is the rate of change in a real-world context?
Back
The rate of change in a real-world context refers to how one quantity changes in relation to another, often expressed as a cost per unit, speed, or growth rate.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
7.
FLASHCARD QUESTION
Front
How do you calculate the rate of change from a table of values?
Back
To calculate the rate of change from a table, take two points (x1, y1) and (x2, y2) and use the formula: rate of change = (y2 - y1) / (x2 - x1).
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
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