Slope flashcard P458

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as a fraction (rise over run).

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, meaning the line rises 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, meaning the line falls from left to right.

Front

What does an undefined slope mean?

Back

An undefined slope occurs in vertical lines where the change in x is zero, making the slope calculation impossible.

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates a horizontal line where the y-value remains constant as the x-value changes.

Front

How is slope typically expressed?

Back

Slope is typically expressed as a fraction, representing the ratio of vertical change (rise) to horizontal change (run).

Front

What is the slope of a line that rises 3 units for every 2 units it runs?

Back

The slope is 3/2.

Front

In which quadrant is a line with a negative slope located?

Back

A line with a negative slope can be located in Quadrants II and IV.

Front

In which quadrant is a line with a positive slope located?

Back

A line with a positive slope can be located in Quadrants I and III.

Front

What is the slope of a line that falls 2 units for every 3 units it runs?

Back

The slope is -2/3.