What is the general form of a linear equation?
Writing Equations from Descriptions

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•
Mathematics
•
7th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
How do you interpret the slope in a linear equation?
Back
The slope (m) represents the rate of change of y with respect to x. It indicates 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. It represents the starting point of the linear relationship on the y-axis.
4.
FLASHCARD QUESTION
Front
How can you write an equation from a word problem involving a fixed cost and a variable cost?
Back
Identify the fixed cost as the y-intercept and the variable cost per unit as the slope. The equation will be in the form y = mx + b.
5.
FLASHCARD QUESTION
Front
In the context of a budget, how would you express the remaining amount after spending a fixed amount per day?
Back
You would express it as y = initial amount - (daily spending * x), where x is the number of days.
6.
FLASHCARD QUESTION
Front
What is the significance of a negative slope in a linear equation?
Back
A negative slope indicates that as x increases, y decreases, showing an inverse relationship between the two variables.
7.
FLASHCARD QUESTION
Front
How do you determine the total cost of renting a car based on mileage?
Back
The total cost can be determined by the equation y = (cost per mile * miles driven) + fixed rental fee.
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