Final answer:
The pair of parametric equations corresponding to the rectangular equation y = -4x + 2 is x(t) = t + 1 and y(t) = -4t - 2.
Step-by-step explanation:
To find a pair of parametric equations for the rectangular equation y = -4x + 2, we need to express both x and y in terms of a third variable, often denoted as t. Since x(t) = t is not allowed, let's choose a different expression for x(t). A simple choice would be to let x(t) = t + 1. Substituting this into the rectangular equation gives us y = -4(t + 1) + 2, which simplifies to y(t) = -4t - 2.
The set of parametric equations that corresponds to the rectangular equation y = -4x + 2 is therefore:
- x(t) = t + 1
- y(t) = -4t - 2