Skill: Create line graphs

Explanation and Free Practice Resources

A line graph represents how a measured quantity changes across an ordered sequence, such as days, months, or repeated observations, by pairing each input with a numerical output and plotting the resulting points on labeled, equally spaced axes. The points are connected to show increases, decreases, and patterns of change; the vertical scale must use consistent intervals, and the graph should not imply values between observations unless the context supports that interpretation.

Detailed Explanation: Create line graphs

A line graph shows how a measured amount changes in an order, such as from day to day.

Example

A student counts the number of birds seen each day:

DayBirds seen
Monday2
Tuesday4
Wednesday3
Thursday5
Friday6

Step 1: Draw and label the axes

  • Draw a horizontal axis for the ordered input: Days.
  • Draw a vertical axis for the measured amount: Number of birds.
  • Put the days from left to right in order: Monday, Tuesday, Wednesday, Thursday, Friday.

Step 2: Choose an even scale

The vertical axis should have equal spaces for equal amounts. Use a scale counting by 11:

0, 1, 2, 3, 4, 5, 60,\ 1,\ 2,\ 3,\ 4,\ 5,\ 6

Do not make some spaces larger or smaller than others.

Step 3: Plot each point

Pair each day with its number of birds:

  • Monday: (Monday,2)(\text{Monday}, 2)
  • Tuesday: (Tuesday,4)(\text{Tuesday}, 4)
  • Wednesday: (Wednesday,3)(\text{Wednesday}, 3)
  • Thursday: (Thursday,5)(\text{Thursday}, 5)
  • Friday: (Friday,6)(\text{Friday}, 6)

For example, the Monday point goes above Monday and across from 22 on the vertical axis.

Step 4: Connect the points

Connect neighboring points with straight line segments:

  • Connect Monday to Tuesday.
  • Connect Tuesday to Wednesday.
  • Continue until Friday.

The line goes up when the number increases and down when the number decreases.

Step 5: Read the graph

From the data:

  • The number of birds increased from Monday to Tuesday.
  • It decreased from Tuesday to Wednesday.
  • It increased from Wednesday through Friday.
  • Friday had the greatest number of birds: 66.

The points represent the actual days observed. The connecting lines show the pattern from one observation to the next; they do not necessarily tell the exact number of birds on times between those days.

Learn by doing: Create line graphs

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Graphing - Create Line Graph from Data (Text)


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