Q:

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

Accepted Solution

A:
Answer:x = t y = 4t - 2Step-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 = -2Rearrange y in terms of x.y = 4x - 2Substitute x = ty = 4t - 2Hence the required parametric form is x = t y = 4t - 2