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Line segment AB is drawn between point A(-3, 3) and point B(-1, -1). Work out the gradient of the line segment AB, then find the equation of the graph.

The gradient of segment AB is given by the change in x, over the change in y.m = dy/dx = (y2 -y1)/(x2-x1)y2 = 1y1 = 3x2 = -1x1 = -3m = (-1 - 3)/(-1 -(-3)) = -4/2 = -2Gradient is -2.
SA
Answered by Shahan A. • Maths tutor
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How do you find the length of the diagonal of a rectangle of 5cm by 12cm?

Draw the rectangle and put on the measurements Draw on the diagonal Find the right angled triangle Pythagoras tells us a 2 +b 2 =c 2 where c is the longest side which is what we are trying to find So 12 2 +5...
MS
Answered by Matthew S. • Maths tutor
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Factorise 5a – 3a^2

Answer: a(5-3a)Explanation: We take the highest common factor of both of the terms, which is a and we put it outside of the bracket. Then, in the bracket we put two terms that when multiplied by a, the produ...
CM
Answered by Christina M. • Maths tutor
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Solve the following simultaneous equations: 6j+4k=40; 7j-3k=-7

j = 2, k = 7
CE
Answered by Catherine E. • Maths tutor
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Given that x^2+10x+3 can be written in the form (x+a)^2+b, find the values of a and b.

We can tackle this question by completing the square. Completing the square allows us to write a quadratic equation (x^2+10x+3) in the simpler form (x+a)^2+b.To complete the square, first we need to find the...
KC
Answered by Katie C. • Maths tutor
11322 Views