Describe Equation of Curves.

Solution:

A curve is a shape that can be closed or open. Some of the open curves are parabola, hyperbola, and straight line. These curves can be represented in the cartesian plane using equations. Let's see how we can do that.

A curve can be represented in a graph using the help of equations.

Let's understand it with the help of some examples.

The equation y = x² represents a parabola in the cartesian plane, as shown below.

The equation ax² + by² = c is the general equation for an ellipse. When a and b are equal, we get the equation of a circle. For example, as shown in the figure below, 4x² + 9y² = 36 is the equation of an ellipse.

The equation x + y = 1 represents a straight line in the cartesian plane, as shown in the picture below.

Hence, an equation of a curve is the equation that can be used to represent the curve in a standard coordinate system.

Describe Equation of Curves.

Summary:

An equation of a curve is the equation that can be used to represent the curve in a standard coordinate system.