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The gradient of a straight line L1, passing through the point P (3, 4) and Q (a, b) is -3/2. A line L2 is perpendicular to L1 through Q and R (2, -1). Determine the values of a and b. 

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4-6/3-9-3/2 and b+1/a-2 = 2/3
 3a +2b=17
-2a+3b=-7
6a+4b=34
-6a+9b=-21
13b=13
b=1
a=5

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