Calculating Slope

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

Front

What is a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant from left to right.

Front

What is a negative slope?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant from left to right.

Front

What is zero slope?

Back

Zero slope means that there is no vertical change as the x-value changes, resulting in a horizontal line.

Front

What is an undefined slope?

Back

An undefined slope occurs when a line is vertical, meaning there is no horizontal change, and the slope cannot be calculated.

Front

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

Back

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

Front

What does a steep slope indicate?

Back

A steep slope indicates a large change in y for a small change in x, meaning the line rises or falls quickly.

Front

How many types of slopes are there?

Back

There are four types of slopes: positive, negative, zero, and undefined.

Front

What is the slope of a line that goes down from left to right?

Back

The slope of a line that goes down from left to right is negative.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.