SOLUTION: The curve for which dy/dx = 2*x+k, where k is a constant, is such that the tangent at (0,3) passes through (-1.5,0). Find the gradient of this tangent and hence determine the value

Algebra ->  Coordinate-system -> SOLUTION: The curve for which dy/dx = 2*x+k, where k is a constant, is such that the tangent at (0,3) passes through (-1.5,0). Find the gradient of this tangent and hence determine the value      Log On


   

Question 1048174: The curve for which dy/dx = 2*x+k, where k is a constant, is such that the tangent at (0,3) passes through (-1.5,0). Find the gradient of this tangent and hence determine the value of k and the equation of the curve.
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Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The curve for which dy/dx = 2*x+k, where k is a constant, is such that the tangent at (0,3) passes through (-1.5,0). Find the gradient of this tangent and hence determine the value of k and the equation of the curve.
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You have 2 points, find the slope m.
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Then find k.
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Then integrate to find the curve.