Lines in Context

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 used to visualize data trends over time.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the line crosses the y-axis. It represents the value of the dependent variable when the independent variable is zero.

Front

How do you find the slope of a line?

Back

The slope of a line is calculated by taking the difference in the y-values (rise) and dividing it by the difference in the x-values (run) between two points on the line.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship between the two variables.

Front

What is the formula for slope?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What is the significance of the slope in a real-world context?

Back

The slope can represent rates of change, such as speed or temperature change over time, indicating how one variable affects another.

Front

What does it mean if a line is horizontal?

Back

A horizontal line has a slope of 0, indicating that the y-value remains constant regardless of changes in the x-value.

Front

What does it mean if a line is vertical?

Back

A vertical line has an undefined slope, indicating that the x-value remains constant while the y-value changes.

Front

How can you determine the temperature at a specific time using a line graph?

Back

You can determine the temperature at a specific time by locating the time on the x-axis and finding the corresponding value on the y-axis.

Front

What is the importance of the x-axis in a line graph?

Back

The x-axis typically represents the independent variable, such as time, and is crucial for understanding how the dependent variable (y-axis) changes in relation to it.