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 positive slope indicate about a line?

Back

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

Front

What does a negative slope indicate about a line?

Back

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

Front

What is an undefined slope?

Back

An undefined slope occurs in vertical lines where the change in x is zero, making the slope calculation (rise/run) impossible.

Front

How many types of slopes are there?

Back

There are three main types of slopes: positive, negative, and undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero, indicating that there is no vertical change as the x-value changes.

Front

How can you determine the slope of a line from a graph?

Back

The slope can be determined by selecting two points on the line, calculating the rise (change in y) and run (change in x), and then using the formula slope = rise/run.

Front

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

Back

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

Front

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

Back

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