What is a linear equation?
Linear Equations & Inequalities

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Mathematics
•
9th - 12th 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 of a line represent?
Back
The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive or negative).
3.
FLASHCARD QUESTION
Front
How do you calculate the slope between two points (x1, y1) and (x2, y2)?
Back
The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).
4.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
5.
FLASHCARD QUESTION
Front
What is the y-intercept of a line?
Back
The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the slope-intercept form.
6.
FLASHCARD QUESTION
Front
If a line has a slope of 0, what does that indicate?
Back
A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.
7.
FLASHCARD QUESTION
Front
If a line has an undefined slope, what does that indicate?
Back
An undefined slope indicates a vertical line, meaning x remains constant while y changes.
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