2.3 Categorize Positive/Negative/Undefined/Zero 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

How is a positive slope characterized?

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

How is a negative slope characterized?

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 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 the x-value changes.

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 the x-value changes.

Front

What is the formula for calculating slope between two points (x1, y1) and (x2, y2)?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Front

What type of slope does a line that goes from the bottom left to the top right have?

Back

A line that goes from the bottom left to the top right has a positive slope.

Front

What type of slope does a line that goes from the top left to the bottom right have?

Back

A line that goes from the top left to the bottom right has a negative slope.

Front

Can a line have both positive and negative slopes?

Back

No, a line can only have one slope at a time, which can be positive, negative, zero, or undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.