Graphing Linear Equations

Flashcard
•
Mathematics
•
8th Grade
•
Hard
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14 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of slope in a linear equation?
Back
The slope of a linear equation represents the rate of change of the dependent variable (y) with respect to the independent variable (x). 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 identify the slope from the equation of a line in slope-intercept form?
Back
In the slope-intercept form of a linear equation, y = mx + b, the slope (m) is the coefficient of x.
3.
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.
4.
FLASHCARD QUESTION
Front
What does a positive slope indicate about a line?
Back
A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant of the line.
5.
FLASHCARD QUESTION
Front
What does a negative slope indicate about a line?
Back
A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant of the line.
6.
FLASHCARD QUESTION
Front
How can you determine if a slope is zero?
Back
A slope is zero when the line is horizontal, meaning there is no change in the y-value as the x-value changes.
7.
FLASHCARD QUESTION
Front
What is the significance of the y-intercept in a linear equation?
Back
The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form y = mx + b.
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