Types of Slopes

Front

What is the definition of a slope in mathematics?

Back

The slope is a measure of the steepness or incline of a line, 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

In the equation y=mx+b, what does 'm' represent?

Back

In the equation y=mx+b, 'm' represents the slope of the line.

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 type of slope does a line that rises from left to right have?

Back

A line that rises from left to right has a positive slope.

Front

What type of slope does a line that falls from left to right have?

Back

A line that falls from left to right has a negative slope.

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

How can you identify the slope of a line from its graph?

Back

You can identify the slope of a line from its graph by determining the rise over run between two points on the line.