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.
