The slope $\beta'_1$ remains the same as $\beta_1$, but the intercept changes to $\beta'_0 = \beta_0 - \beta_1 k$.

The slope changes to $\beta'_1 = \beta_1 + k$, and the intercept remains $\beta_0$.

The slope and intercept both remain unchanged because the linear relationship is invariant to translation.

The slope changes to $\beta'_1 = \frac{\beta_1}{k}$ and the intercept becomes $\beta_0$.