Line Charts

• Title: Describes what the line chart is about.
• Axis: The x-axis (horizontal) and y-axis (vertical) provide a reference for the data.
• Data Points: Represent individual data values plotted on the chart.
• Line Segments: Connect the data points to show trends over time.
• Labels: Describe the data categories and values.

Slope of a Line

If two points on a line are $(x_1,y_1)$ and $(x_2,y_2)$, the slope $m$ is given by:

Equation of a Line

The equation of a line with slope $m$ passing through the point $(x_1,y_1)$ is:

Finding Total Value

If the values represented by the data points are $y_1,y_2,y_3,\dots ,y_n$, the total value is:

Finding Average Value

If the values represented by the data points are $y_1,y_2,y_3,\dots ,y_n$, the average value is:

Example 1: Finding Slope

If two points on a line are (2, 3) and (5, 7), the slope is:

Example 2: Equation of a Line

Using the slope $m=\frac{4}{3}$ and the point (2, 3), the equation of the line is:

Example 3: Finding Total Value

If the values represented by the data points are 10, 20, 30, and 40, the total value is:

Example 4: Finding Average Value

If the values represented by the data points are 10, 20, 30, and 40, the average value is: