Parallel lines are a fixed distance apart and will never meet, no matter how long they are extended. Lines that are parallel have the same gradient. The graphs above, \(y = 2x + 1\) and \(y = 2x - 2\) ...

Horizontal lines run left to right, parallel to the horizon, with slope 0 and equation y = k. Vertical lines run top to bottom, perpendicular to the horizon, with undefined slope and equation x = k.

The graphs above, \(y = 2x + 1\) and \(y = 2x - 2\) have the same gradient of 2. The lines are parallel. State the equation of a line that is parallel to \(y = 3x + 7\). To be parallel, two lines must ...