Linear Equations

Flashcard
•
Mathematics
•
8th - 10th Grade
•
Hard
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15 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 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 find 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 y-intercept of a linear equation?
Back
The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the equation y = mx + b.
5.
FLASHCARD QUESTION
Front
What does an undefined slope indicate about a line?
Back
An undefined slope indicates that the line is vertical. This means that the x-coordinate does not change, and the equation of the line is in the form x = a constant.
6.
FLASHCARD QUESTION
Front
What is the equation of a horizontal line?
Back
The equation of a horizontal line is in the form y = b, where b is the y-coordinate of any point on the line.
7.
FLASHCARD QUESTION
Front
How do you graph the equation y = 2/3x - 3?
Back
To graph y = 2/3x - 3, start at the y-intercept (0, -3) and use the slope (rise/run = 2/3) to find another point.
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