Show that the lines y-5x=2 and 6y-30x=36 are parallel

Rearrange both equations so that both are in the form y= something. Move the x terms to the right of both equations. y=5x+2 6y=30x+36 Factorise second equation so that common factor of 6 is shown. 6y=6(5x+6)Divide second equation through by 6 so that the second equation has been simplified. y=5x+6Show that 5x is common to both equations. Realise that 5 is the gradient of both lines. Gradients are equal and y-intercept is different so lines are parallel