Slope

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).

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, meaning there is 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 because there is no horizontal change as the y-value changes.

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

Find the slope between the points (2, 3) and (5, 11).

Back

The slope is (11 - 3) / (5 - 2) = 8 / 3.

Front

What is the slope of the line represented by the equation y = 2x + 1?

Back

The slope is 2.

Front

What is the slope of the line represented by the equation y = -3x + 4?

Back

The slope is -3.

Front

If a line has a slope of 0, what does it look like?

Back

A line with a slope of 0 is horizontal.