Test #2

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is the ratio of the change in the y-values to the change in the x-values, often represented as the slope (m) in the equation y = mx + b.

Front

How do you find the y-intercept of a linear equation?

Back

The y-intercept of a linear equation is found by setting x = 0 in the equation and solving for y.

Front

What does the equation of a line in slope-intercept form look like?

Back

The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the steepness and direction of the line. A positive slope means the line rises, while a negative slope means it falls.

Front

How do you determine if a function is linear?

Back

A function is linear if it can be represented by a straight line on a graph, which means it has a constant rate of change.

Front

What is the formula for calculating 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

What does the term 'x-intercept' refer to?

Back

The x-intercept is the point where the graph of a function crosses the x-axis, which occurs when y = 0.

Front

How can you identify the x-intercept from a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

What is the meaning of a negative slope in a linear function?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, showing an inverse relationship.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.