Slope

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x (rise over run).

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you write the equation of a line in slope-intercept form?

Back

The slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope of the line is 3.

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal and does not rise or fall.

Front

If a line has an undefined slope, what does that mean?

Back

An undefined slope means the line is vertical, and it cannot be expressed as a ratio of rise over run.

Front

What is the relationship between parallel lines and their slopes?

Back

Parallel lines have the same slope but different y-intercepts.