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Points: (-3, 2) and (6, 8)

Slope: 2/3

Equation: y-8=2/3(x-6) => 3y-24=2x-12 => 3y=2x+12

Solving equations 3y=2x+12 and 3x+2y-21=0 simultaneously: x = 3 and y = 6

Therefore the point of contact is at: (3, 6)

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