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+7⇔7t+3=7⇔7t=4⇔t=47,
and N(47)=2⋅47+3=417. Hence, the point of intersection is (47,417). You might check your answer, indeed: M(47)=417.