Question 529639
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^2 - 3y = -5x/2 - 17/2}}}
{{{(y - 3/2)^2 = -5x/2 - 34/4 + 9/4 = -5x/2 - 25/4}}}
{{{x = (-2/5)*(x - 3/2)^2 + 5/2}}}
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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.