Finding Slope Basics

Front

What is slope?

Back

Slope is a measure of the steepness of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run).

Front

How do you calculate slope?

Back

Slope (m) = (change in y) / (change in x) = rise / run.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases.

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal, indicating no change in y as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs with a vertical line, where the change in x is zero.

Front

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

Back

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

Front

If a line rises from left to right, what type of slope does it have?

Back

It has a positive slope.

Front

If a line falls from left to right, what type of slope does it have?

Back

It has a negative slope.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.