Review: 3C-Graph & Identify Key Features of Linear Functions

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the graph of a function crosses the y-axis, represented as (0, y).

Front

How do you find the y-intercept from a linear equation in the form y = mx + b?

Back

The y-intercept is the value of b in the equation, which represents the point (0, b) on the graph.

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function, indicating how much y changes for a unit change in x.

Front

How can you identify the slope from the equation of a line in the form y = mx + b?

Back

The slope is the coefficient m in the equation.

Front

What is the standard form of a linear equation?

Back

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

Front

How do you convert the equation -3x + 5y = -15 to slope-intercept form?

Back

Rearranging gives y = (3/5)x - 3.

Front

What is the significance of the x-intercept in a linear function?

Back

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

Front

How do you find the x-intercept from a linear equation?

Back

Set y = 0 in the equation and solve for x.

Front

What does a positive slope indicate about a linear function?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a linear function?

Back

A negative slope indicates that as x increases, y decreases.