In $xy$-plane, line $K$ passes through the points $A(6, -7)$ and $B(4, 5).$ Does line $K$ also pass through po

In $xy$-plane, line $K$ passes through the points $A(6, -7)$ and $B(4, 5).$ Does line $K$ also pass through point $C?$

(1) Coordinates of Point $C$ are $( 5, -1).$

(2) Point $C$ is equidistant from Point $A$ and Point $B.$

Answer: A

Source: GMAT Club Tests

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