Slope Flashcard

Front

What is slope?

Back

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

Front

What is a positive slope?

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 is a negative slope?

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 zero slope?

Back

Zero slope means that there is no vertical change as the x-value changes, resulting in a horizontal line.

Front

What is undefined slope?

Back

Undefined slope occurs when a vertical line is drawn, meaning there is no horizontal change, and the slope cannot be calculated.

Front

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

Back

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

Front

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

Back

In real-world contexts, slope can represent rates of change, such as speed, cost per item, or growth rates.

Front

Identify the slope in the equation y = 3x + 4.

Back

The slope is 3.

Front

Identify the slope in the equation y = -2x + 1.

Back

The slope is -2.

Front

What is the rate of change in the context of a linear function?

Back

The rate of change is the same as the slope and represents how much the dependent variable changes for a unit change in the independent variable.