Chapter 3 Review Honors

Front

What is the equation format for a linear relationship based on two points?

Back

The equation format is y - y1 = m(x - x1), where m is the slope.

Front

How do you determine the slope (rate of change) between two points?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does it mean if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What does it mean if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

How can you describe the end behavior of a function?

Back

End behavior describes how the output (y) behaves as the input (x) approaches positive or negative infinity.

Front

What is the significance of a sample point (x,y) in a linear equation?

Back

A sample point (x,y) is used to find the specific equation of a line when combined with the slope.

Front

What is the meaning of the term 'rate of change' in a linear context?

Back

Rate of change refers to how much the dependent variable (y) changes for a unit change in the independent variable (x).

Front

How do you write an equation from a given rate of change and a point?

Back

Use the point-slope form: y - y1 = m(x - x1), substituting the slope and the coordinates of the point.

Front

What is the general form of a linear equation?

Back

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

Front

What does it mean for a function to approach negative infinity as x approaches positive infinity?

Back

It means that the values of the function decrease without bound as x increases.