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First we'll figure out what the numbers in the co-ordinates mean. On the point (7,12) x= 7 and y=12. - The equation of the line is in the form of y=mx + c so for the point to be on the line, the y value must...

x 2 +4x+3=0 The first step is to factorise. To do this you need to find a pair of factors of 3 that add together to make 4. I recommend listing the factors of 3 to start with. Don't forget the negatives! 1 a...

You should treat the question as you would a normal quadratic and complete the square. First you should look at the factors of 16 and see which pair would result in the -17x; you can see that it would be -1 ...

Let's use a general equation for straight lines, y= mx +c. Here, the m and c represent numbers (or constants), which will differ for each specific line. The number in the place of the m is the gradient of th...

You need to solve the question so this means you need to work out the value of w. To work out the value of w you rearrange the terms and make w the subject of the equation. Start with minusing 3w on both sid...