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

Front

What is the zero of a linear function?

Back

The zero of a linear function is the x-value where the function's output (y) is zero. It is the point where the graph intersects the x-axis.

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line, indicating how steep the line is and the direction it goes (positive or negative).

Front

What does the y-intercept of a linear function represent?

Back

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

Front

How do you find the x-intercept of a linear function?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

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

Back

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

Front

What does a positive slope indicate about a linear function?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a linear function?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the significance of the coefficients in a linear function?

Back

The coefficients determine the slope and y-intercept, which define the line's steepness and where it crosses the axes.

Front

How can you determine if two linear functions are parallel?

Back

Two linear functions are parallel if they have the same slope (m) but different y-intercepts (b).

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

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