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## Homework Statement

Find the equation of the tangent, and the line which passes through the origin to the point where x= 3/2

4x

^{2}+9y

^{2}= 36

## Homework Equations

## The Attempt at a Solution

Using implicit differentiation

d/dy [4x

^{2}+9y

^{2}] =36

8x+18y dy/dx = 0

dy/dx = -8x/18y

Coordinates are (1.5, 1.732)

dy/dx = -8(1.5)/18(1.732) = -0.385

y-1.732/x-1.5 = 1/0.385

y= x- 1.5 +1.732 (equation of tangent)

But I'm stuck now how to get the line that passes through the origin to the point where x=1.5

Thanks in advance for any replies!