AI generatedAlgebraKS3 / GCSE

Finding intercepts algebraically

Finding intercepts algebraically.

  • 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

Find the intercepts with both axes.

For the -intercept, substitute .For the -intercept, substitute .Divide both sides by the coefficient of .State the intercepts as coordinate pairs.
-intercept . -intercept .

Example 2

Find the intercepts with both axes.

For the -intercept, substitute .For the -intercept, substitute .Divide both sides by the coefficient of .State the intercepts as coordinate pairs.
-intercept . -intercept .

Your turn

Question 1

Find the intercepts with both axes.

Check answer
For the -intercept, substitute .For the -intercept, substitute .Divide both sides by the coefficient of .State the intercepts as coordinate pairs.
-intercept . -intercept .
Question 2

Find the intercepts with both axes.

Check answer
For the -intercept, substitute .For the -intercept, substitute .Divide both sides by the coefficient of .State the intercepts as coordinate pairs.
-intercept . -intercept .
Question 3

Find the intercepts with both axes.

Check answer
For the -intercept, substitute .For the -intercept, substitute .Divide both sides by the coefficient of .State the intercepts as coordinate pairs.
-intercept . -intercept .
Question 4

Find the intercepts with both axes.

Check answer
For the -intercept, substitute .For the -intercept, substitute .Divide both sides by the coefficient of .State the intercepts as coordinate pairs.
-intercept . -intercept .
Question 5

Find the intercepts with both axes.

Check answer
For the -intercept, substitute .For the -intercept, substitute .Divide both sides by the coefficient of .State the intercepts as coordinate pairs.
-intercept . -intercept .
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