TEKS 7.4 A-C (Constant Rate of Change)

Front

What is a constant rate of change?

Back

A constant rate of change refers to a situation where the change in one quantity is consistent with the change in another quantity over time. It is often represented by a linear function.

Front

How do you identify a linear relationship in a graph?

Back

A linear relationship in a graph is identified by a straight line, indicating that as one variable increases or decreases, the other variable does so at a constant rate.

Front

What is the slope in a linear equation?

Back

The slope is a measure of the steepness of a line, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise/run).

Front

What does the y-intercept represent in a linear equation?

Back

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

Front

How can you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be graphically represented as a straight line, meaning it has a constant rate of change.

Front

How do you determine if a table of values represents a linear function?

Back

To determine if a table of values represents a linear function, check if the differences between consecutive y-values divided by the differences in x-values are constant.

Front

What is a real-world example of constant rate of change?

Back

A real-world example of constant rate of change is driving at a steady speed, where the distance traveled increases consistently over time.

Front

What is the difference between positive and negative slope?

Back

A positive slope indicates that as x increases, y also increases, while a negative slope indicates that as x increases, y decreases.