Writing Linear Equations: Review

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•
Mathematics
•
8th - 9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear equation?
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 of a linear equation represent?
Back
The slope 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 is the point where the line crosses the y-axis. It is the value of y when x is 0.
4.
FLASHCARD QUESTION
Front
How do you find the slope from two points (x1, y1) and (x2, y2)?
Back
The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).
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 convert a linear equation from slope-intercept form to standard form?
Back
To convert from y = mx + b to Ax + By = C, rearrange the equation to get all terms on one side.
7.
FLASHCARD QUESTION
Front
What does the term 'per-mile fee' mean in a linear equation context?
Back
The per-mile fee is the variable cost associated with each mile driven, represented by the slope in the equation.
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