When you see a parameter, try to eliminate the parameter. The parameter here is t. So get rid of t.

x = t +5

So, t = x -5 ----------**

y = 2t -1

So,

y = 2(x-5) -1

y = 2x -10 -1

y = 2x -11 --------the equationm where the parameter t was eliminated.

That is a linear equation, a straight line in graph. Its slope is 2, because of the "2x" term.

[y = mx +b, you know.]

Therefore, 1) a straight line with slope 2. --------------answer.

----------------------------

Check "2) a straight line through the point (5,1)."

1 =? 2(5) -11

1 =? 10 -11

1 =? -1

No, so Option (2) is not coorect. Therefore, option (1) is really correct.