How do we know penal substitution is true?

Penal substitution is a fundamental doctrine that asserts Jesus bore the penalty for sin on behalf of His people. This concept is rooted in several biblical passages, including Isaiah 53 and the New Testament, where it is emphasized that He died for our sins according to the Scriptures (1 Corinthians 15:3-4). The vicarious nature of Christ's death confirms that He was cut off from the living as a direct payment for the transgressions of those whom the Father has given to Him. Thus, God's justice was satisfied through Christ's atoning work, which was part of His eternal plan of salvation for His elect.