Here are the equations of 12 straight lines.













These 12 straight lines can be divided up into six pairs, each pair matching one of the following descriptions:

  • These lines are parallel.

  • These lines are perpendicular.

  • These lines have the same \(y\)-intercept.

  • These lines have the same \(x\)-intercept.

  • These lines both go through the point \((1,5)\).

  • These lines …

Can you sort them into the correct pairs and complete the final description?

Note that the \(x\)-intercept of a line is where the line crosses the \(x\)-axis.

This resource is taken from the Standards Unit. You can download the full unit here, or just the printable card sorting pages (lines and descriptions) here.