# Is the equation 25x^2-10x-200y-119=0 a line, parabola, ellipse, hyperbola, or circle?

Nov 26, 2015

A quadratic presented with big numbers $\to$ a parabola , I think!
Definitely not a 'straight line', ellipse or circle.
It is a line, just that this line is curved!

#### Explanation:

Write as:

$200 y = 25 {x}^{2} - 10 x - 119$

divide through out by 200

$y = \frac{25}{200} {x}^{2} - \frac{10}{200} - \frac{119}{200}$

Simplify

$y = \frac{1}{8} {x}^{2} - \frac{1}{20} x - \frac{119}{200}$