Types of Slope

Front

What is the definition of slope in mathematics?

Back

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

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates that the line is horizontal, meaning there is no vertical change as you move along the line.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning there is no horizontal change as you move along the line.

Front

What is the slope of a line that rises as it moves from left to right?

Back

The slope of a line that rises from left to right is positive.

Front

What is the slope of a line that falls as it moves from left to right?

Back

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

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

In which quadrant of the Cartesian plane does a line with a positive slope lie?

Back

A line with a positive slope lies in the first and third quadrants of the Cartesian plane.

Front

In which quadrant of the Cartesian plane does a line with a negative slope lie?

Back

A line with a negative slope lies in the second and fourth quadrants of the Cartesian plane.