Which equation is an xy-equation for the parametric equations x equals -2t plus 2 and y equals t - 1 where 0 t 4?

Answer 1

x = -2t + 2 = -2(t - 1)

y = t - 1

So x = -2*y or y = -x/2

Also, t = 0 gives x = 2

and t = 4 gives x = -6

so 0 < t < 4 is equivalent to -6 < x < 2.

The answer, therefore is, y = -x/2 for -6 < x < 2

Note:

The t-domain is not well defined since the browser does not show any of the inequalities. I have assumed they are all strict inequalities but if they are not, the corresponding inequalities should be used to define the x-domain. However, it is important to remember that the first inequality in t-domain is the second inequality for the x-domain.