Y= ax+b
when x=3, y=11 and when x= -2, y=11
3a+b=11
-2a+b=11 | * -1
3a+b=11
2a-b=-11
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5a=0, a=0:5, a=0
⇒ b=11
y=11 for every x
So ( 1,11) or (2,11) are also points on the graph
Multiply all terms by 12/1 to get rid of fractions.
8x+2= -9x+12
Add 9x to both sides
17x+2=12
Subtract 2 from both sides
17x=10
Divide both sides by 17
x=10/17
Final answer: x=10/17
The distance of points P and B is 5