Interpreting Slope and Y-intercept
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
+3
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What does the slope of a linear equation represent?
Back
The slope represents the rate of change of the dependent variable with respect to the independent variable.
Tags
CCSS.8.EE.B.5
2.
FLASHCARD QUESTION
Front
In the equation y = mx + b, what does 'm' represent?
Back
'm' represents the slope of the line.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
3.
FLASHCARD QUESTION
Front
In the equation y = mx + b, what does 'b' represent?
Back
'b' represents the y-intercept of the line.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
4.
FLASHCARD QUESTION
Front
How do you interpret the y-intercept in a real-world context?
Back
The y-intercept represents the starting value of the dependent variable when the independent variable is zero.
Tags
CCSS.HSF.LE.B.5
5.
FLASHCARD QUESTION
Front
If a line has a negative slope, what does that indicate about the relationship between the variables?
Back
A negative slope indicates that as the independent variable increases, the dependent variable decreases.
Tags
CCSS.8.EE.B.5
6.
FLASHCARD QUESTION
Front
What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?
Back
Slope (m) = (y2 - y1) / (x2 - x1).
Tags
CCSS.8.EE.B.5
7.
FLASHCARD QUESTION
Front
If a climber's altitude increases from 400 feet to 700 feet over 4 hours, what is the average rate of change?
Back
Average rate of change = (700 - 400) / (6 - 2) = 75 feet per hour.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
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