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
SA
Related Maths GCSE answers
All answers ▸The price of a book is £4. In a sale the price is reduced by 30%. Work out the sale price.
Tom has a circular garden of radius 30m and he wishes to cover it with fertiliser. Boxes of fertiliser cover 28m^2 of garden. How many boxes will Tom need to cover his entire garden?
John bought 7 bags of cement and 3 bags of gravel with the total weight of 215kgs. Shona bought 5 bags of cement and 4 bags of gravel with the total weight of 200kgs. How much does 1 bag of cement weigh and how much does 1 bag of gravel weigh?
How do you simplify the square root of 18 without using a calculator?