reattempt Review 12/13/24

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line, and is calculated as the ratio of the rise (change in y) over the run (change in x).

Front

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

Back

The slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does the slope represent in a real-world context?

Back

The slope represents the rate of change between two variables. For example, in a distance-time graph, the slope indicates speed.

Front

What is the slope of the line represented by the equation y = 0.5x - 2?

Back

The slope is 0.5.

Front

In the equation y = kx, what does k represent?

Back

k represents the constant of proportionality, indicating how much y changes for a unit change in x.

Front

What is the slope of the line represented by the equation y = -3x + 7?

Back

The slope is -3.

Front

How do you interpret a positive slope?

Back

A positive slope indicates that as x increases, y also increases, showing a direct relationship.

Front

How do you interpret a negative slope?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no change in y as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as it would involve division by zero.