Linear Equations Flashcard Review

Front

What is the definition of a linear equation?

Back

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.

Front

What is the y-intercept in a linear equation?

Back

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.

Front

What is point-slope form of a linear equation?

Back

Front

How can you find the slope from two points?

Back

Front

What is the standard form of a linear equation?

Back

Front

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

Back

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

Front

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

Back

Front

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

Back

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