Question

describing a solution set
describe the graph of ( y > mx ), where ( m > 0 ).
sample response: the graph of ( y > mx ), where ( m > 0 ), consists of a dashed line and a shaded half - plane. the line has a positive slope and passes through the origin. the shaded half - plane is above the line.
what did you include in your response? check all that apply
( square ) dashed line
( square ) half plane
( square ) positive slope
( square ) origin
( square ) shading above the line

Explanation:

All listed elements are present in the sample response and the provided description of the graph of $y > mx$ ($m>0$):

1. "dashed line" is noted as the line itself isn't included.
2. "half plane" is referenced as the shaded region.
3. "positive slope" is confirmed by $m>0$ (upward-sloping).
4. "origin" is stated as the line passes through it.
5. "shading above the line" is specified as the region strictly above the line.

Answer:

• dashed line
• half plane
• positive slope
• origin
• shading above the line