What does the Bible say about Jesus' ability to save?

The Bible emphasizes that Jesus Christ came to this world to die as a substitute for His elect. His purpose was not to improve worldly circumstances but to provide salvation through His death, burial, and resurrection. As noted in 1 Timothy 2:5, there is only one mediator between God and men, the man Christ Jesus, who reconciles humanity to God through His sacrifice. This underscores the necessity of His work as the propitiation for sins, which satisfies divine justice and allows believers to be accepted by God. His ability to save is founded entirely on His atoning work and the sovereign grace of God in electing those He will save.