Write parametric equations of the line - 4x+y=-2

x = t

y = 4t - 2

Step-by-step explanation:

In the given equation, there are two variables included.

But the idea of parametric representation is to represent it by a single variable.

The main application of using parametric equation is found when we are solving problems from geometry especially conic sections and in 3-D geometry.

Let us assign the parameter as t.

Let x = t

The given equation is - 4x + y = - 2

Rearrange y in terms of x.

y = 4x - 2

Substitute x = t

y = 4t - 2

Hence the required parametric form is

x = t

y = 4t - 2