What is a linear equation?

Writing Linear Equations from Word Problems

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Mathematics
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Hard
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1.
FLASHCARD QUESTION
Front
Back
A linear equation is an equation that models a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
What does the slope (m) represent in a linear equation?
Back
The slope (m) represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.
3.
FLASHCARD QUESTION
Front
What does the y-intercept (b) represent in a linear equation?
Back
The y-intercept (b) is the value of y when x is 0. It represents the point where the line crosses the y-axis.
4.
FLASHCARD QUESTION
Front
How do you write a linear equation from a word problem?
Back
Identify the variables, determine the relationship between them, and express that relationship in the form of a linear equation.
5.
FLASHCARD QUESTION
Front
In the equation y = mx + b, what do x and y represent?
Back
In the equation y = mx + b, x represents the independent variable, and y represents the dependent variable.
6.
FLASHCARD QUESTION
Front
What is the fixed cost in a linear equation representing a service charge?
Back
The fixed cost is the constant term (b) in the equation, representing the initial charge before any variable costs are added.
7.
FLASHCARD QUESTION
Front
How do you identify the variable cost in a service charge equation?
Back
The variable cost is the coefficient of x (m) in the equation, representing the cost that changes based on the number of services provided.
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