已知点$A(x_{1}$,$y_{1})$和$B(x_{2}$,$y_{2})$是一次函数$y=kx+2\left(k \gt 0\right)$图象上的两点,且$x_{1} \lt x_{2}$,则$y_{1}$______$y_{2}$.(填"$\gt$"或"$\lt ")$