Question

The graph of a linear equation contains the points (3,11) and (-2,11). Which point also lies on the graph?(YOU MUST SHOW WORK)

Answer 1

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