The gradient of a straight line L_{1,} passing through the point P (3, 4) and Q (a, b) is ^{-3}/_{2}. A line L_{2} is perpendicular to L_{1} through Q and R (2, -1). Determine the values of a and b.

^{4-6}/_{3-9}= ^{-3}/_{2} and ^{b+1}/_{a-2} = ^{2}/_{3} 3a +2b=17-2a+3b=-76a+4b=34-6a+9b=-2113b=13b=1a=5

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