Linear Graph Characteristics Review

Front

What is a linear graph?

Back

A linear graph is a graph that represents a linear equation, showing a straight line on a coordinate plane.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x, indicating how steep the line is.

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 y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What is the x-intercept of a linear equation?

Back

The x-intercept is the point where the line crosses the x-axis, represented as (a, 0) in the equation y = mx + b.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, y also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as x increases, y decreases.

Front

What is the end behavior of a linear function?

Back

For a linear function, as x → ∞, y → ∞ and as x → -∞, y → -∞.

Front

How do you determine the range of a linear function?

Back

The range of a linear function is all possible y-values that the function can output, often represented as (-∞, ∞) for non-restricted lines.

Front

What is the domain of a linear function?

Back

The domain of a linear function is all possible x-values that can be input into the function, typically represented as (-∞, ∞).