Question

Choose the statement that best describes the graph of y > 2/3 x + 1

Answer choices:
The graph will have a dashed line, shaded above the line.
The graph will have a solid line, shaded above the line.
The graph will have a dashed line, shaded below the line.
The graph will have a solid line, shaded below the line.

Answer 1

Answer: Choice A

Dashed line, shade above the line

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Reason:

The lack of "or equal to" means we go for a dashed line. Points on the dashed line aren't part of the solution set. Think of this as the electric fence you cannot touch, but you can get closer to. It's similar to an asymptote.

We shade above the boundary line because of the "greater than" sign.

The dashed boundary line goes through (0,1) and (3,3)