Line Graphs

Front

What is a line graph?

Back

A line graph is a type of chart that displays information as a series of data points called 'markers' connected by straight line segments. It is commonly used to visualize trends over time.

Front

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

Back

The slope of a line in a line graph represents the rate of change between the two variables plotted on the axes. A positive slope indicates an increase, while a negative slope indicates a decrease.

Front

What is the independent variable in a line graph?

Back

The independent variable is the variable that is manipulated or controlled in an experiment or analysis, typically plotted on the x-axis.

Front

What is the dependent variable in a line graph?

Back

The dependent variable is the variable that is measured or observed in response to changes in the independent variable, typically plotted on the y-axis.

Front

How do you calculate the value of y in a linear equation?

Back

To calculate the value of y in a linear equation of the form y = mx + b, substitute the value of x into the equation and solve for y.

Front

What does a horizontal line in a line graph indicate?

Back

A horizontal line in a line graph indicates that the dependent variable remains constant regardless of changes in the independent variable.

Front

What does a vertical line in a line graph indicate?

Back

A vertical line in a line graph indicates that the independent variable is constant, which is typically not valid in a function context.

Front

How can you determine the cost of services from a line graph?

Back

You can determine the cost of services from a line graph by locating the corresponding point on the graph for the given independent variable (e.g., time) and reading the value of the dependent variable (e.g., cost) at that point.

Front

What is the formula for a linear equation?

Back

The formula for a linear equation is generally expressed as y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the y-intercept represent in a line graph?

Back

The y-intercept represents the value of the dependent variable when the independent variable is zero.