SOLUTION: Identify conic section represented by the equation: 2y^2 + 5x + 17 - 6y = 0 Write the equation of the conic section in standard form: 2y^2 + 5x + 17 - 6y = 0 Determine equa

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Identify conic section represented by the equation: 2y^2 + 5x + 17 - 6y = 0 Write the equation of the conic section in standard form: 2y^2 + 5x + 17 - 6y = 0 Determine equa      Log On


   

Question 529639: Identify conic section represented by the equation:
2y^2 + 5x + 17 - 6y = 0
Write the equation of the conic section in standard form:
2y^2 + 5x + 17 - 6y = 0
Determine equation of the line that is tangent to conic section at provided point:
(-3, 7)
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Identify conic section represented by the equation:
2y^2 + 5x + 17 - 6y = 0
It's a parabola with an axis parallel to the x-axis, open to the left.
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Write the equation of the conic section in standard form:
2y^2 + 5x + 17 - 6y = 0
y%5E2+-+3y+=+-5x%2F2+-+17%2F2
%28y+-+3%2F2%29%5E2+=+-5x%2F2+-+34%2F4+%2B+9%2F4+=+-5x%2F2+-+25%2F4
x+=+%28-2%2F5%29%2A%28x+-+3%2F2%29%5E2+%2B+5%2F2
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Determine equation of the line that is tangent to conic section at provided point:
(-3, 7)
That point is not on the parabola.