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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. ...

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...

The gradient is m = (y1-y0)/(x1-x0) = (4-3)/(3-1) = 1/2. So the equation of the line is y= x/2 + c where c is a constant. To find the constant, c, we will input one of the given coordinates (1,3). This sh...

2x^2+6x-8=0fx^2+3x-4=0(x-1)(x+4)=0x=-4 or x=1