Concept:
Proteins are polymers formed by the linkage of amino acids. Each amino acid contains:
\[
-NH_2
\]
and
\[
-COOH
\]
functional groups.
When two amino acids react, the carboxyl group of one amino acid combines with the amino group of another amino acid with the elimination of a water molecule.
The resulting linkage is called a peptide bond, which is chemically an amide bond.
Step 1: Consider two amino acids.
Let two amino acids be:
\[
H_2N-CHR-COOH
\]
and
\[
H_2N-CHR'-COOH
\]
Step 2: Formation of peptide linkage.
The reaction occurs as:
\[
-COOH + -NH_2
\rightarrow
-CONH- + H_2O
\]
Water is eliminated during the reaction.
Step 3: Identify the bond formed.
The bond
\[
-CONH-
\]
is an amide linkage.
Therefore amino acids are connected through:
\[
\boxed{\text{Amide Bond}}
\]
Hence option (4) is correct.