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 'slope' 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 is the y-intercept 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 involving a flat fee and a variable cost?
Back
Identify the flat fee as the y-intercept and the variable cost as the slope. The equation will be in the form y = mx + b.
5.
FLASHCARD QUESTION
Front
What is the standard form of a linear equation?
Back
The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.
6.
FLASHCARD QUESTION
Front
How do you identify the slope and y-intercept from a word problem?
Back
Look for the constant amount (flat fee) for the y-intercept and the rate of change (cost per hour/item) for the slope.
7.
FLASHCARD QUESTION
Front
What is the significance of the coefficients in a linear equation?
Back
The coefficients represent 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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