Constant Rate of Change Practice

Front

What is a constant rate of change?

Back

A constant rate of change means that the quantity changes by the same amount over equal intervals of time. It is often represented by a straight line on a graph.

Front

How can you identify a constant rate of change on a graph?

Back

A constant rate of change is identified on a graph by a straight line, indicating that the y-value changes at a consistent rate as the x-value changes.

Front

What does the slope of a line represent in a constant rate of change?

Back

The slope of a line represents the rate of change. It shows how much the y-value increases or decreases for each unit increase in the x-value.

Front

If a graph has a slope of 2, what does that mean?

Back

A slope of 2 means that for every 1 unit increase in the x-value, the y-value increases by 2 units.

Front

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

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

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. It represents the value of y when x is 0.

Front

How can you determine if a table of values represents a constant rate of change?

Back

A table represents a constant rate of change if the differences between consecutive y-values are the same for equal differences in x-values.

Front

What is the difference between a proportional relationship and a constant rate of change?

Back

A proportional relationship is a specific type of constant rate of change where the line passes through the origin (0,0).

Front

How do you graph a linear equation?

Back

To graph a linear equation, identify the y-intercept, plot it on the graph, and use the slope to find another point. Draw a straight line through the points.