Slope Basics Flashcard

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, 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 the x-values increase, the y-values decrease, meaning the line falls from left to right.

Front

What is a zero slope?

Back

A zero slope indicates a horizontal line where there is no vertical change as the x-values change.

Front

What is an undefined slope?

Back

An undefined slope occurs with a vertical line where there is no horizontal change, making the slope calculation impossible.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

If a line has a slope of 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, the y-value increases by 2 units.

Front

What is the slope of a line that runs parallel to the x-axis?

Back

The slope of a line parallel to the x-axis is 0.

Front

What is the slope of a line that runs parallel to the y-axis?

Back

The slope of a line parallel to the y-axis is undefined.

Front

If a line has a slope of -3, what does this indicate?

Back

A slope of -3 indicates that for every 1 unit increase in x, the y-value decreases by 3 units.