Slope

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as a ratio of the vertical change to the horizontal change between two points on the line.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend.

Front

What does a zero slope indicate?

Back

A zero slope indicates that there is no vertical change as the x-value changes, meaning the line is horizontal.

Front

What does an undefined slope indicate?

Back

An undefined slope occurs when a line is vertical, meaning there is no horizontal change as the x-value remains constant.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

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

Back

The slope is 2.

Front

If a line has a slope of 3, what does this mean?

Back

For every 1 unit increase in x, the y-value increases by 3 units.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.