The equation of line 1 is y=3x-2 and the equation of line 2 is 3y-9x+5=0. Show the two lines are parallel.
The two lines are parallel if they have the same gradient, so for a line in the form y=mx+c, m of the two lines must be the same.Line 1 is already in this form so we need to rearrange line 2 to be in this form.3y-9x+5=0. First rearrange to have y on the left hand side. -5 and +9x.3y=9x-5. Then divide by 3.y=3x-5/3. Line 1 and line 2 both have 3 as their gradients, so are parallel.
ES
Related Maths GCSE answers
All answers ▸A circle with centre C has equation x^2 + y^2 + 2x - 6y - 40 = 0. Express as (x - a)^2 + (y - b)^2 = d.
A rectangle has an area of 20cm^2. Its length and width are each enlarged by scale factor 3. What is the area of the enlarged rectangle?
Text books are stored on two shelves. Each shelf is 0.72m long. Each textbook is 30 millimetres wide. Could 50 textbooks be stored on these shelves? (3 marks)
I struggle with the following type of question: "The first four terms of an arithmetic sequence are 5, 9, 13, 17. Write down an expression, in terms of n, for the nth term in the sequence." How should I approach this?