Slope

Front

What is the definition of slope?

Back

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

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 on a graph.

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 on a graph.

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

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

Back

The slope is 2.

Front

What is the slope of the line represented by the equation y = 3x + 1?

Back

The slope is 3.

Front

What is the slope of the line represented by the equation y = -2x + 4?

Back

The slope is -2.

Front

What does a slope of 1/2 mean in terms of rise and run?

Back

A slope of 1/2 means that for every 2 units you move horizontally (run), you move up 1 unit (rise).