Find the coordinates of the point which divides the join of (-1, 7) and (4, -3) in the ratio 2:3.

Using the section formula $\left(\frac{m_1x_2 + m_2x_1}{m_1 + m_2}, \frac{m_1y_2 + m_2y_1}{m_1 + m_2}\right)$ with $m_1:m_2 = 2:3$, $(x_1, y_1) = (-1, 7)$, and $(x_2, y_2) = (4, -3)$, we get $x = \frac{2(4) + 3(-1)}{2+3} = \frac{8 - 3}{5} = 1$ and $y = \frac{2(-3) + 3(7)}{2+3} = \frac{-6 + 21}{5} = 3$. Thus, the point is $(1, 3)$.