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i) Gradient (m) = ∆y/∆x. Therefore: m = (5-(-7))/(3-6) = (12)/(-3) = -4. Intercept (c) = 5-(3*(-4)) = 5+12 = 17. Therefore: y = -4x+17 ii) x = -2, y = 26. -4(-2) + 17 = 25. 25≠26, therefore the line does ...
With simultaneous equations it's important to write down all your working so you keep everything clear in your mind and don't get confused. Start by putting all the x and y of both equations on one side. ...
Vectors can describe a line of particular length ("magnitude") and direction. The angle x between two vectors a and b can be found using the formula a.b...
Differentiate the first term 2x3 as normal by multiplying the coefficient of x by the power and subtracting the power by 1 to get 6x2 . For the next term you have to use the product rule as you...
Lets start off by calling the width of rectangle 'w'. The length of the rectangle is 5 times the width, or '5w'. The area of a rectangle can be worked out by multiplying the length by the width, i.e. 5w x...
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