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

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