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 the rate of change of y with respect to x.

Front

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

Back

The y-intercept is the point where the graph intersects the y-axis, representing the value of y when x is zero.

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 does the term 'rate' refer to in a linear equation?

Back

In a linear equation, 'rate' refers to the slope, indicating how much y changes for a unit change in x.

Front

What is the x-intercept of a linear function?

Back

The x-intercept is the x-value where the function's output (y) is zero, indicating where the graph intersects the x-axis.

Front

How can you determine the x-intercept from the equation y = mx + b?

Back

Set y to 0 and solve for x: 0 = mx + b, leading to x = -b/m.

Front

What does the equation y = 5x - 4 represent in terms of operations?

Back

It means to multiply x by 5 and then subtract 4 to get y.

Front

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

Back

The slope indicates the rate of change, such as speed, cost per item, or any other ratio of change.