The equation of the line L1 is y=4x–8. The equation of the line L2 is 3y–12x+4=0. Show that L1 and L2 are parallel.
Parallel lines have the same gradient. The gradient of L1 is 4. For the gradient of L2: 3y=12x-4y=4x-4/3The gradient of L2 is also 4. Thus these lines are parallel.
Explanation 1.Rearrange the equation to make y the subject: 3y=12x-42.Divide through by 3 to get a single y as the subject: y=4x-4/3
DP
Related Maths GCSE answers
All answers ▸All tickets to the movie theatres cost the same price. Jessica and Thomas pay £84 together. Jessica pays £38.5 for 11 tickets. How many does Thomas Buy?
c) Sharon is organising an event. The tickets cost 12 pounds each. Sharon paid 200 pounds for the cost of the event. How many tickets will Sharon have to sell to make a profit? (2 marks)
How do I solve simultaneous equations by substitution?
3/(x-1) - 2/(x+1) = 1 Solve to find the values of x.