Unit 4 Review - Honors

Front

What is the meaning of the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0, representing the starting point of the line on the y-axis.

Front

How can you determine if a relation is a function?

Back

A relation is a function if every input (x-value) has exactly one output (y-value).

Front

What is the definition of a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, described by the equation y = mx + b.

Front

What does the slope of a line represent?

Back

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

Front

How do you find the y-intercept from a linear equation in slope-intercept form?

Back

In the equation y = mx + b, the y-intercept is the value of b.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By + C = 0, where A, B, and C are constants.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates such as speed, cost per item, or any other ratio of change.

Front

How do you write an equation for a real-world scenario involving a fixed cost and a variable cost?

Back

Identify the fixed cost and the variable cost per unit, then use the equation y = mx + b, where m is the variable cost and b is the fixed cost.

Front

What is the y-intercept of the line represented by the equation y = 2x + 3?

Back

The y-intercept is 3, which is the value of y when x is 0.

Front

What does it mean if a graph does not pass the vertical line test?

Back

If a graph does not pass the vertical line test, it means that the relation is not a function because one x-value corresponds to multiple y-values.