Slope Intro

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y (rise) over the change in x (run).

Front

How do you determine if a slope is positive?

Back

A slope is positive if the line rises from left to right. This means that as the x-values increase, the y-values also increase.

Front

How do you determine if a slope is negative?

Back

A slope is negative if the line falls from left to right. This means that as the x-values increase, the y-values decrease.

Front

What is the formula for calculating slope?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a slope of 0 indicate?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where x remains constant while y changes.

Front

If a line has a slope of -2, what does this mean?

Back

A slope of -2 means that for every 1 unit increase in x, y decreases by 2 units.

Front

If a line has a slope of 1/2, what does this mean?

Back

A slope of 1/2 means that for every 2 units increase in x, y increases by 1 unit.

Front

What is the slope of a line that passes through the points (1, 2) and (3, 6)?

Back

The slope is (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

What is the slope of a line that passes through the points (2, 3) and (2, 5)?

Back

The slope is undefined because the x-values are the same, indicating a vertical line.