Final answer:
The House of Representatives has the power to impeach, while the Senate has the power to try and convict under the Texas Constitution.
Step-by-step explanation:
The Texas Constitution grants the House of Representatives the power to impeach elected officials, while the Senate has the power to try and convict those individuals. This means that the House can initiate the removal proceedings by bringing charges of impeachment, while the Senate conducts the trial and makes the final decision on whether the impeached official should be removed from office. The Senate requires a two-thirds majority vote for conviction.