Review Writing & Graphing Linear Functions

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What does the slope represent in a linear function?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a unit change in x.

Front

In the equation y = 3x + 10, how many books will John have after 5 days?

Back

John will have 25 books after 5 days.

Front

What does 'm' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

In the equation y = 5x + 12, what does the number 12 represent?

Back

The number 12 represents the initial value (b), meaning Mrs. Hawk starts with 12 pencils.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

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.

Front

What is the x-intercept?

Back

The x-intercept is the point where a line crosses the x-axis, represented as (a, 0) in the equation y = mx + b.

Front

How can you determine if a linear function is increasing or decreasing?

Back

A linear function is increasing if the slope (m) is positive and decreasing if the slope (m) is negative.

Front

What is the formula for the slope-intercept form of a linear equation?

Back

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