Analyzing graphs and rates of change II

Front

What is a graph?

Back

A visual representation of data that shows the relationship between different variables.

Front

What does the slope of a line represent in a graph?

Back

The rate of change between the two variables represented on the graph.

Front

Define 'rate of change'.

Back

The speed at which a variable changes over a specific period of time.

Front

What does a positive slope indicate?

Back

As one variable increases, the other variable also increases.

Front

What does a negative slope indicate?

Back

As one variable increases, the other variable decreases.

Front

What is the meaning of 'y-intercept' in a graph?

Back

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

Front

How do you calculate the slope of a line?

Back

Slope (m) = (change in y) / (change in x).

Front

What does a horizontal line on a graph indicate?

Back

There is no change in the y-value as the x-value changes; the rate of change is zero.

Front

What does a vertical line on a graph indicate?

Back

The x-value is constant while the y-value changes; this represents an undefined slope.

Front

What is a linear relationship?

Back

A relationship between two variables that can be represented by a straight line on a graph.