If tan ∅ (theta) = 2/7 what are the remaining trig functions? would be much appreciated.

Tan  = opposite side / adjacent      so opp = 2 and adj = 7
Now you need to find the hypotenuse of the right angled triangle.

hypotenuse = sqrt (2^2 + 7^2)  = sqrt 53

sin theta = opp / hyp  and cos theta = adj/hyp

cot theta = adj / opp , sec  theta = hyp/adj and  cosec theta = hyp/opp.

C the grapa have the same shape and the y- intercept of y = x is 0 and the x intercept of the second graph is 11. Is the correct answer