Graphing Linear Equations Flashcard

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•
Mathematics
•
8th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of a linear equation?
Back
A linear equation is an equation that represents a straight line when graphed on a coordinate plane, typically in the form y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
What does the x-intercept of a line represent?
Back
The x-intercept of a line is the point where the line crosses the x-axis, which occurs when y = 0.
3.
FLASHCARD QUESTION
Front
What does the y-intercept of a line represent?
Back
The y-intercept of a line is the point where the line crosses the y-axis, which occurs when x = 0.
4.
FLASHCARD QUESTION
Front
How do you find the slope of a line given two points?
Back
The slope (m) of a line given two points (x1, y1) and (x2, y2) is calculated using the formula m = (y2 - y1) / (x2 - x1).
5.
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.
6.
FLASHCARD QUESTION
Front
How can you graph a linear equation using intercepts?
Back
To graph a linear equation using intercepts, plot the x-intercept and y-intercept on the coordinate plane and draw a straight line through these two points.
7.
FLASHCARD QUESTION
Front
What is the relationship between the slope and the direction of a line?
Back
A positive slope indicates that the line rises from left to right, while a negative slope indicates that the line falls from left to right.
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