Finding intercepts algebraically Revision Card

AI generatedAlgebraKey Stage 3

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

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

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

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

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

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

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