Show that line 2y − 3x = 4 is parallel to the line 4y = 6x − 1.
Re-arranging 2y − 3x = 4
2y − 3x = 42y = 3x + 4y = 1.5x + 2This line has a gradient of 1.5
Re-arranging 4y = 6x − 1
4y = 6x − 1y = 1.5x − 0.25This line has a gradient of 1.5
As both lines have the same gradient, they must be parallel.