The point of intersection of the graph of N(t)=2t+3 with the graph of M(t)=5t+7 can be determined as follows:
2t+3=5t+77t+3=77t=4t=47,


and N(47)=247+3=417. Hence, the point of intersection is (47,417). You might check your answer, indeed: M(47)=417.