What is a linear equation?
Writing Linear Equations from Word Problems

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•
Mathematics
•
8th - 9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A linear equation is an equation that makes 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 is 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
What is the equation for a service charge plus hourly rate?
Back
y = mx + b, where y is the total cost, m is the hourly rate, x is the number of hours, and b is the initial service charge.
6.
FLASHCARD QUESTION
Front
In the equation y = mx + b, what do x and y represent?
Back
x represents the independent variable, and y represents the dependent variable.
7.
FLASHCARD QUESTION
Front
What is the significance of the coefficients in a linear equation?
Back
Coefficients indicate the strength and direction of the relationship between the variables. The coefficient of x (slope) shows how much y changes for a unit change in x.
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