A is the point with coordinates (5, 9) B is the point with coordinates (d, 15). The gradient of the line AB is 3. Work out the value of d.
gradient is calculated using the change in y coordinates divided by change in x coordinates. so, (15-9)/(d-5)=3 => 6/(d-5)= 3rearrange this equation to get d on one side (6/3)+5 = d therefore d= 7
EC
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y is inversely proportional to d^2 and when d = 10, y = 4. d is directly proportional to x^2 and when x = 2, d = 24. Find a formula for y in terms of x. Give your answer in its simplest form.
Solve 2x + 10 = 4x + 6
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