Question

The gradient of a straight line L_1, 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. 

Answer 1

^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