What is the slope of a line?
Linear Systems 1
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Mathematics
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8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line (y = mx + b). It is calculated as the rise over run, or the change in y divided by the change in x.
2.
FLASHCARD QUESTION
Front
How do you find the slope from two points?
Back
To find the slope (m) from two points (x1, y1) and (x2, y2), use the formula: m = (y2 - y1) / (x2 - x1).
3.
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 as 'b' in the equation of a line (y = mx + b).
4.
FLASHCARD QUESTION
Front
How do you identify the y-intercept from an equation?
Back
In the equation of a line in slope-intercept form (y = mx + b), the y-intercept is the value of 'b'.
5.
FLASHCARD QUESTION
Front
What does it mean for a system of linear equations to be consistent?
Back
A system of linear equations is consistent if it has at least one solution, meaning the lines represented by the equations intersect at one or more points.
6.
FLASHCARD QUESTION
Front
What does it mean for a system of linear equations to be inconsistent?
Back
A system of linear equations is inconsistent if it has no solutions, meaning the lines represented by the equations are parallel and never intersect.
7.
FLASHCARD QUESTION
Front
What is the elimination method in solving linear equations?
Back
The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.
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