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The line L1 has an equation y=2x-2. What is the equation of the line L2 which is parallel to L1 and passes through the point (0,3)?

The first thing to immediately recall is that parallel lines have the same gradient. in the equation of a line (which is expressed in the y=mx+c format), the gradient (m) is the coefficient of x.

Answered by Hafsah B. • Maths tutor

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Solve the simultaneous equation 6x + 2y = -3, 4x - 3y =11

6x + 2y = -3 (1)*3 4x - 3y = 11 (2)*2 18x + 6y = -9 (1) 8x - 6y = 22 (2) (1) + (2) = 18x +8x + 6y - 6y = -9 + 22 => 26x = 13 => x = 1/2 sub x into (1) => (6 * 0.5) + 2y = -3 3 + ...

Answered by Aldouz P. • Maths tutor

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AQA GCSE higher specimen paper 1: Question 28

When performing live calculations of examples of questions for the students, I shall begin by writing down an approach to how they should tackle the problem. This will only take a minute and I’ve found do...

Answered by Andrew R. • Maths tutor

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Integrate x*ln(x) with respect to x

First identify that integration by parts is required. Then seperate the integration so u = ln(x) dv/dx = x then, du/dx = 1/x v = (1/2)x^2 . And using the integration by parts formula with these subst...

Answered by Ana S. • Maths tutor

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Solve the following simultaneous equations: 2y+x=8 , 1+y=2x

This is a very common type of question that might be asked in an exam and there are 3 methods we could use to solve this; by substitution, by elimination (or subtraction) or by using straight line graphs....

Answered by Ben R. • Maths tutor

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