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Find the equation of a straight line given two of its points (1,3) and (-2,5). Write your answer in the form y = mx + c.

There are two main steps required to find the equation of a straight line: Finding the gradient of the line AND the slope intercept

Answered by Stanislaw C. • Maths tutor

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In a class of 28 students, the average height of the 12 boys is 1.58 metres. The average height of the class is 1.52 metres. What is the average of the girls?

If we take x to be the total heights of the all the boys (1.58 * 12) be x and y to be the total height of all the students (1.52 * 28) then we may define the total heights of the girls, z, as y – x. If we...

Answered by Micah B. • Maths tutor

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Andrew buys a Laptop for £600 which includes 20% VAT. What is the price of the Laptop without VAT?

£600 includes 20% VAT Therefore £600 is 100% of original price + 20% from VAT, meaning £600 is a 120% price increase in accordance to original price.120% as a decimal is 1.2 - simply divide by 100 to get ...

Answered by Aqeeb M. • Maths tutor

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Solve x^2 = 4(x - 3)^2

First multiply out the bracket.x^2 = 4(x - 3)^2 then becomes x^2 = 4(x^2 - 6x + 9)Expand the right hand side further. x^2 = 4x^2 - 24x + 36Collect like terms. 3x^2 - 24x + 36 = 0The number 3 is a common f...

Answered by Jenny B. • Maths tutor

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