Identifying parallel lines Revision Card

AI generatedAlgebraKey Stage 3

Identifying parallel lines.

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

Which two lines are parallel?

Read the coefficient of

in each equation.

A and

have equal gradients and different intercepts.

This gradient differs.

Lines A and

are parallel.

Example 2

Which two lines are parallel?

Read the coefficient of

in each equation.

A and

have equal gradients and different intercepts.

This gradient differs.

Lines A and

are parallel.

Your turn

Question 1

Which two lines are parallel?

Check answer

Read the coefficient of

in each equation.

A and

have equal gradients and different intercepts.

This gradient differs.

Lines A and

are parallel.

Question 2

Which two lines are parallel?

Check answer

Read the coefficient of

in each equation.

A and

have equal gradients and different intercepts.

This gradient differs.

Lines A and

are parallel.

Question 3

Which two lines are parallel?

Check answer

Read the coefficient of

in each equation.

A and

have equal gradients and different intercepts.

This gradient differs.

Lines A and

are parallel.

Question 4

Which two lines are parallel?

Check answer

Read the coefficient of

in each equation.

A and

have equal gradients and different intercepts.

This gradient differs.

Lines A and

are parallel.

Question 5

Which two lines are parallel?

Check answer

Read the coefficient of

in each equation.

A and

have equal gradients and different intercepts.

This gradient differs.

Lines A and

are parallel.