The equation of the line L1 is y=3x–2. The equation of the line L2 is 3y–9x+5=0. Show that these two lines are parallel.

If two lines are parallel, then they will have the same gradient. The gradient of the curve is represented by m in the equation y=mx + c. For this question, if L2 is parallel to L1, m will therefore equal 3 as well. To prove this, we must rearrange and simplify the given equation for L2.3Y-9X+5=0, we will start by putting the y and the x on opposite sides of the equation3Y=9X - 5 we will then divide the whole equation by 3Y= 3X -5/3As we can see, the m in the equation for L2 is also 3, and so L1 and L2 are parallel