Graph this parametric equation

x = 2t y = t + 5, -2 ≤ t ≤ 3

We are given the following data: x = 2t, y = t + 5, -2 ≤ t ≤ 3. The data is valid since there are three unknowns in this problem and that three equations would suffice to answer the problem. 

We start with the given -2 ≤ t ≤ 3 then substitute y = t +5 by using the limits of the range:

at t = -2 ; y = -2 + 5 = 3
at t = 3, y = 3+5 = 8

for the second equation

at t = -2 ; x = 2*-2 =-4
at t=3; x = 2*3 = 6

we group the points based on their original corresponding t's 

(3,-4) and (8,6) we just have to connect these points along with the internal points in between. The relationship should be linear.