What is the biblical view of atonement?

The Substitutionary Removal of Guilt in Satisfaction of God’s Penal Demands.

Satisfaction

Romans 3:25–26—“God displayed [Christ] publicly as a propitiation in his blood through faith. This was to demonstrate his righteousness,…so that he might be just and the justifier of the one who has faith in Jesus.

God’s perfect and absolute holiness sets up a perfect and absolute standard of right. This in turn demands perfect conformity (in motive, disposition, word, thought, deed, etc.) of all personal beings to that standard. Sin is nonconformity or a violation of God’s perfections, and creates guilt that must justly be punished. God’s holy demands are satisfied only by retribution and punishment. The expression of God’s love is limited by the demands of his holiness.

Jesus’ death was the penal satisfaction of God’s wrath on the guilt of sin. This met the judicial and penal expectation for sin.

Substitution

Isaiah 53 (entire chapter), esp. v. 6—“the Lord has caused the iniquity of us all to fall on him.”

2 Corinthians 5:21—“He made him who knew no sin to be sin on our behalf.”

Galatians 3:13—“Christ redeemed us from the curse of the Law, having become a curse for us.”

1 Peter 2:24—“He himself bore our sins in his body on the cross.”

1 Peter 3:18—“Christ also died for sins once for all, the just for the unjust.”

By substitutionary atonement is meant the death of Christ in the place of the sinner. It is sometimes called vicarious atonement. God demands that a sinner pay for his sin (Rom. 3:23); he demands satisfaction for sin. Jesus voluntarily became a substitute for individual sinners and suffered the punishment of sin in their stead.