Write Slope-Intercept Form for Word Problems
Flashcard
•
Mathematics
•
9th 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 is y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
How do you identify the slope in a linear equation?
Back
The slope (m) represents the rate of change of y with respect to x, indicating how much y changes for a unit change in x.
3.
FLASHCARD QUESTION
Front
What does the y-intercept represent in a linear equation?
Back
The y-intercept (b) is the value of y when x is 0, representing the starting point of the line on the y-axis.
4.
FLASHCARD QUESTION
Front
How can you convert a word problem into slope-intercept form?
Back
Identify the initial value (y-intercept) and the rate of change (slope) from the problem, then express it as y = mx + b.
5.
FLASHCARD QUESTION
Front
In the problem, 'The population of Florida would be about 17.4 million in 2010 and increase by 0.22 million per year,' what is the slope?
Back
The slope is 0.22, representing the annual increase in population.
6.
FLASHCARD QUESTION
Front
In the bike rental problem, what does the $4 represent?
Back
The $4 represents the fixed cost or y-intercept, which is the base fee for renting the bike.
7.
FLASHCARD QUESTION
Front
What is the total income equation for selling x calendars at $5 each?
Back
The equation is y = 5x, where y is the total income and x is the number of calendars sold.
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