Slope: Rise over Run

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run).

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 is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no vertical change as the x-value changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as there is no horizontal change.

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 represented by the equation y = 4x + 2?

Back

The slope is 4.

Front

What is the slope of the line represented by the equation y = -2x + 3?

Back

The slope is -2.

Front

What does a slope of 1 indicate?

Back

A slope of 1 indicates that for every unit increase in x, y increases by the same amount, resulting in a 45-degree angle.

Front

What does a slope of -1 indicate?

Back

A slope of -1 indicates that for every unit increase in x, y decreases by the same amount, resulting in a -45-degree angle.