AI generatedAlgebraKS3 / GCSE

Plotting a straight line from a table

Plotting a straight line from a table.

  • For a non-vertical straight line, use .
  • The gradient is change in divided by change in . The intercept is the value when .
  • Substitute a known point to find missing constant. Show the same operation on both sides.

Example 1

Complete the table and draw the line.

Given information
-2
-1
0
1
2
Complete the y-values
-2
-1
0
1
2

Black: given data. Blue: working we add.

Substitute each -value, then plot the coordinate pairs.Join with one straight line and extend it through the plot.
The five points lie on the straight line shown.
Coordinate graph−4−3−2−11234−12−10−8−6−4−2240

Example 2

Complete the table and draw the line.

Given information
-2
-1
0
1
2
Complete the y-values
-2
-1
0
1
2

Black: given data. Blue: working we add.

Substitute each -value, then plot the coordinate pairs.Join with one straight line and extend it through the plot.
The five points lie on the straight line shown.
Coordinate graph−4−3−2−11234−10−8−6−4−220

Your turn

Question 1

Complete the table and draw the line.

Given information
-2
-1
0
1
2
Check answer
Complete the y-values
-2
-1
0
1
2

Black: given data. Blue: working we add.

Substitute each -value, then plot the coordinate pairs.Join with one straight line and extend it through the plot.
The five points lie on the straight line shown.
Coordinate graph−4−3−2−11234−8−6−4−220
Question 2

Complete the table and draw the line.

Given information
-2
-1
0
1
2
Check answer
Complete the y-values
-2
-1
0
1
2

Black: given data. Blue: working we add.

Substitute each -value, then plot the coordinate pairs.Join with one straight line and extend it through the plot.
The five points lie on the straight line shown.
Coordinate graph−4−3−2−11234−6−4−220
Question 3

Complete the table and draw the line.

Given information
-2
-1
0
1
2
Check answer
Complete the y-values
-2
-1
0
1
2

Black: given data. Blue: working we add.

Substitute each -value, then plot the coordinate pairs.Join with one straight line and extend it through the plot.
The five points lie on the straight line shown.
Coordinate graph−4−3−2−11234−8−6−4−220
Question 4

Complete the table and draw the line.

Given information
-2
-1
0
1
2
Check answer
Complete the y-values
-2
-1
0
1
2

Black: given data. Blue: working we add.

Substitute each -value, then plot the coordinate pairs.Join with one straight line and extend it through the plot.
The five points lie on the straight line shown.
Coordinate graph−4−3−2−11234−10−8−6−4−220
Question 5

Complete the table and draw the line.

Given information
-2
-1
0
1
2
Check answer
Complete the y-values
-2
-1
0
1
2

Black: given data. Blue: working we add.

Substitute each -value, then plot the coordinate pairs.Join with one straight line and extend it through the plot.
The five points lie on the straight line shown.
Coordinate graph−4−3−2−11234−12−10−8−6−4−2240
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