Finding 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 (rise) to the horizontal change (run) between two points on the line.

Front

How is slope calculated using two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, 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-values increase, the y-values decrease, 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 (run) is zero, making the slope calculation impossible.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates a horizontal line where the y-values remain constant regardless of the x-values.

Front

How can slope be determined from a graph?

Back

Slope can be determined from a graph by selecting two points on the line, calculating the rise and run between them, and then using the slope formula.

Front

What is the slope of a line represented by the equation y = mx + b?

Back

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

Front

What is the slope of a line that is perfectly vertical?

Back

The slope of a perfectly vertical line is undefined.

Front

What is the slope of a line that is perfectly horizontal?

Back

The slope of a perfectly horizontal line is zero.