1. Let's check if the point $(0,5)$ lies on the line described by the equation $y=2x-5$. 2. Substitute $x=0$ into the equation: $$y=2(0)-5=0-5=-5$$ The result is $y=-5$, not $5$. So, the point $(0,5)$ is **not** on the line. 3. Now, check if the point $(1,-30)$ lies on the line. 4. Substitute $x=1$ into the equation: $$y=2(1)-5=2-5=-3$$ The result is $y=-3$, not $-30$. So, the point $(1,-30)$ is **not** on the line. **Final answer:** Neither $(0,5)$ nor $(1,-30)$ satisfy the equation $y=2x-5$. Therefore, those points are not on the line.