Here are the equations of 12 straight lines.

\(y=4x+4\)

\(4y=x+3\)

\(y=8x-3\)

\(y+4x+6=0\)

\(3y=2x-8\)

\(y+6x=11\)

\(y+8x=6\)

\(2y+8=3x\)

\(2y+x=4\)

\(2y=8x+3\)

\(y=6x-4\)

\(y+x+8=0\)

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.