Different Forms of 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 slope goes up, negative slope goes down).
3.
FLASHCARD QUESTION
Front
What is the point-slope form of a linear equation?
Back
The point-slope form of a linear equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
4.
FLASHCARD QUESTION
Front
How do you find the slope between two points?
Back
The slope (m) between two points (x1, y1) and (x2, y2) is calculated using the formula m = (y2 - y1) / (x2 - x1).
5.
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.
6.
FLASHCARD QUESTION
Front
What does it mean if a line has an undefined slope?
Back
A line has an undefined slope if it is vertical. This means that the x-coordinate does not change, and the equation of the line is in the form x = a constant.
7.
FLASHCARD QUESTION
Front
What is the standard form of a linear equation?
Back
The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.
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