What is a linear equation?
Writing Linear Equations (Rate of Change and Initial Value)

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Mathematics
•
8th Grade
•
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 (rate of change) and b is the y-intercept (initial value).
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 much y changes for a unit change in x.
3.
FLASHCARD QUESTION
Front
What does the y-intercept (b) represent in a linear equation?
Back
The y-intercept (b) represents the initial value of the dependent variable (y) when the independent variable (x) is zero. It is the point where the line crosses the y-axis.
4.
FLASHCARD QUESTION
Front
How do you determine the initial value from a linear equation?
Back
The initial value can be determined by identifying the y-intercept (b) in the equation y = mx + b.
5.
FLASHCARD QUESTION
Front
What is the rate of change in the context of a linear equation?
Back
The rate of change is the slope (m) of the linear equation, indicating how much the dependent variable (y) changes for each unit increase in the independent variable (x).
6.
FLASHCARD QUESTION
Front
If a linear equation is given as y = 4x + 10, what is the initial value?
Back
The initial value is 10, which is the y-intercept of the equation.
7.
FLASHCARD QUESTION
Front
If a linear equation is y = -3x + 5, what does the negative slope indicate?
Back
The negative slope indicates that as the independent variable (x) increases, the dependent variable (y) decreases.
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