Given the equation y − 3 = one half(x + 6) in point-slope form, identify the equation of the same line in standard form.
2 answers:
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Answer: Choice C.
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Explanation:
The boundary line is a solid line and it's horizontal. Every point on the boundary line has y coordinate -1. So y = -1 is the equation of the boundary line. We can write it as y = 0x-1.
The shading is above the boundary line, so the inequality is
Any point (x,y) in the shaded region has y coordinate that is y = -1 or greater.
For example, the point (0,2) in the shaded region has y coordinate y = 2, and it satisfies the inequality because
is a true statement.
Note: the boundary line is solid, so any point on the boundary line is part of the shaded solution set. This is due to the "or equal to" as part of the inequality sign.