For 0 ≤ t ≤ 5, a particle is moving along a curve so that its position at time t is (x(t), y(t)). At time t=1, the particle is at position (2, -7). It is known that dx/dt = sin (t/t+3) and dy/dt = eᶜᵒˢᵗ.
a). Write an equation for the line tangent to the curve at the point (2, -7)