What does it mean if a line has an undefined slope?

A line with an undefined slope is vertical, meaning it goes straight up and down and does not have a defined rate of change.

How do you convert from slope-intercept form to standard form?

To convert from slope-intercept form $$y = mx + b$$ to standard form $$Ax + By = C$$ , rearrange the equation to isolate $$Ax$$ and $$By$$ on one side.

What is the significance of the slope in real-world applications?

The slope can represent various rates of change in real-world scenarios, such as speed, cost per item, or growth rates.

How do you identify the slope and y-intercept from an equation?

In the equation $$y = mx + b$$ , the slope is $$m$$ and the y-intercept is $$b$$ .

What is the relationship between parallel lines and their slopes?

Parallel lines have the same slope, meaning they rise and fall at the same rate but never intersect.

What is the relationship between perpendicular lines and their slopes?

Perpendicular lines have slopes that are negative reciprocals of each other. If one slope is $$m$$ , the other is $$-\frac{1}{m}$$ .

How can you graph a linear equation?

To graph a linear equation, find the y-intercept, plot it on the graph, then use the slope to find another point and draw the line.

What is the importance of understanding linear equations in mathematics?

Understanding linear equations is fundamental in mathematics as they are used in various applications, including algebra, geometry, and real-world problem-solving.

Linear Equations Flashcard Review Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the definition of a linear equation?

Back

2.

FLASHCARD QUESTION

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the y-value with respect to the x-value. It indicates how steep the line is.

3.

FLASHCARD QUESTION

Front

What is the y-intercept in a linear equation?

Back

4.

FLASHCARD QUESTION

Front

How do you determine if a slope is positive, negative, or zero?

Back

A positive slope rises from left to right, a negative slope falls from left to right, and a zero slope is a horizontal line.

5.

FLASHCARD QUESTION

Front

What is point-slope form of a linear equation?

Back

6.

FLASHCARD QUESTION

Front

How can you find the slope from two points?

Back

7.

FLASHCARD QUESTION

Front

What is the standard form of a linear equation?

Back

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