Calculating Slope of a Line

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y (rise) divided by the change in x (run).

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 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 a zero slope indicate?

Back

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

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where the x-value remains constant as the y-value changes.

Front

If a line passes through the points (1, 2) and (3, 6), what is the slope?

Back

The slope is 2, calculated as (6 - 2) / (3 - 1).

Front

If a line passes through the points (4, 5) and (4, 9), what is the slope?

Back

The slope is undefined because the x-values are the same.

Front

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

Back

The slope is negative.

Front

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

Back

The slope is positive.