Unit 4 RETEST 8TH GR

Front

What is the slope of a linear function?

Back

The slope of a linear function represents the rate of change of the function. It is calculated as the change in the y-values divided by the change in the x-values (rise/run). For example, if the slope is 2/3, it means for every 3 units you move to the right on the x-axis, you move up 2 units on the y-axis.

Front

How do you find the y-intercept (b) of a linear function?

Back

The y-intercept (b) of a linear function is the value of y when x is 0. It can be found by substituting x = 0 into the equation of the line or by looking at the graph where the line crosses the y-axis.

Front

What does a slope of 0 indicate about a linear function?

Back

A slope of 0 indicates that the linear function is a horizontal line. This means that there is no change in the y-value as the x-value changes.

Front

What does an undefined slope indicate about a linear function?

Back

An undefined slope indicates that the linear function is a vertical line. This means that the x-value does not change, while the y-value can take any value.

Front

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

Back

The formula for calculating the slope (m) between two points is 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, and A should be non-negative.

Front

What is the difference between a linear function and a nonlinear function?

Back

A linear function has a constant rate of change and can be represented by a straight line, while a nonlinear function does not have a constant rate of change and can be represented by a curve.

Front

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

Back

The slope in real-world applications can represent rates such as speed, cost per item, or growth rates. It helps in understanding how one quantity changes in relation to another.

Front

How can you determine if a function is linear from a table of values?

Back

A function is linear if the differences between consecutive y-values divided by the differences between consecutive x-values are constant.

Front

What is the graphical representation of a linear function?

Back

The graphical representation of a linear function is a straight line on a coordinate plane, where the slope indicates the steepness and the y-intercept indicates where the line crosses the y-axis.