Review 2.2 NonLinear

Front

What is the y-intercept of a linear graph?

Back

The y-intercept is the point where the graph intersects the y-axis, represented as (0, y).

Front

How do you calculate the rate of change between two points?

Back

The rate of change is calculated by taking the difference in the y-values and dividing it by the difference in the x-values, often expressed as 'change in y over change in x'.

Front

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

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables; a positive slope means an increase, while a negative slope indicates a decrease.

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the formula for calculating the slope of a line?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does it mean for a function to be nonlinear?

Back

A nonlinear function is one that does not form a straight line when graphed; it can have curves, bends, or other shapes.

Front

What is the difference between a linear and a nonlinear relationship?

Back

A linear relationship has a constant rate of change and can be represented by a straight line, while a nonlinear relationship has a variable rate of change and cannot be represented by a straight line.

Front

What is the term for a young fox?

Back

A young fox is called a kit.

Front

How many legs do lobsters have?

Back

Lobsters have 10 legs.

Front

Who was the only U.S. president to have been a licensed bartender?

Back

Abraham Lincoln was a licensed bartender before his presidency.