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Lesson · Grade 7 · Mathematics

Graphing a Linear Relation from Its Table

  • Grade 7
  • Mathematics
  • 1 min 14 s
  • British Columbia
  • BC7-MA-37

Starting from a table of values (n = 1 to 5, terms 4, 6, 8, 10, 12), the video draws two axes and plots each row as a point by going across for n and up for the term, building each ordered pair from its row of the table. The points line up in a straight line that goes across 1 and up 2 each time, matching the +2 down the table, so the relation is linear; because n is a whole number the points are not joined.

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In one sentence

The question this lesson answers

This table gives the term for each term number, n.

How can we show this table on a graph?

Transcript

What the lesson says

This table gives the term for each term number, n.

How can we show this table on a graph?

Draw two axes, with n going across and the term going up.

The terms reach 12, so count up the side by 2s.

Start with the first row, where n is 1 and the term is 4.

From zero, go across to 1.

Then go up to 4.

Mark a point there to show the pair 1 and 4.

Plot the other rows the same way, across and then up.

The points lie on a straight line, so the relation is linear.

Each step across 1 goes up 2, just like the table.

There is no term number 1 and a half, so we do not join the points.

To graph a table, plot each row as a point: across for n, then up for the term.

Curriculum

Where this fits

British Columbia, Grade 7

Mathematics, Patterns and algebra: discrete linear relations, using expressions, tables, and graphsBC7-MA-37

Previous: Evaluating an Expression by SubstitutionNext: Reading the rule from a graph

The outcomes and strands follow the British Columbia curriculum.

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