Represent Equations (y = mx + b)
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
In the equation y = mx + b, what does 'm' represent?
Back
'm' represents the slope of the line, indicating the rate of change of y with respect to x.
3.
FLASHCARD QUESTION
Front
In the equation y = mx + b, what does 'b' represent?
Back
'b' represents the y-intercept, which is the value of y when x is 0.
4.
FLASHCARD QUESTION
Front
How do you determine the slope from a word problem involving savings?
Back
The slope can be determined by identifying the amount of change in savings per unit of time, such as dollars saved per month.
5.
FLASHCARD QUESTION
Front
What does a negative slope indicate in a real-world context?
Back
A negative slope indicates a decrease in the value of y as x increases, such as losing money or descending in height.
6.
FLASHCARD QUESTION
Front
How can you write an equation from a scenario involving a startup fee and a monthly fee?
Back
Identify the startup fee as the y-intercept and the monthly fee as the slope, then use the slope-intercept form to write the equation.
7.
FLASHCARD QUESTION
Front
What is the significance of the y-intercept in a real-world application?
Back
The y-intercept represents the initial value or starting point before any changes occur, such as initial savings or starting height.
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