
2C Writing Linear Equations

Flashcard
•
Mathematics
•
12th Grade
•
Hard
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14 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 (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 is the y-intercept (b) in a linear equation?
Back
The y-intercept (b) is the point where the line crosses the y-axis. It represents the value of y when x is 0.
4.
FLASHCARD QUESTION
Front
How do you find the slope between 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 can you convert a linear equation from standard form to slope-intercept form?
Back
To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y to isolate it on one side.
7.
FLASHCARD QUESTION
Front
What is the significance of parallel lines in terms of linear equations?
Back
Parallel lines have the same slope but different y-intercepts. Their equations will have the same m value.
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