Help please! thanks so much!
2 answers:
Answer: Choice D
Open hole at -3 with shading to the left.
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Explanation:
The inequality is the same as
When swapping both sides, the inequality sign flips as well.
Since we're looking for numbers smaller than -3, this includes things like -4, -5, -6, -7, and so on. Therefore we shade to the left of -3 on the number line.
We have an open hole at -3 to indicate it's not included as part of the solution set. We would include it if there as an "or equal to" as part of the inequality sign.
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Answer:
The point-slope form of the line is:
Hence, option B is correct.
Step-by-step explanation:
We know the point-slope form of the line equation is
where
- m is the slope of the line
- (x₁, y₁) is the point
Given
The slope m = 4
From the graph, we can take the point (-3, -4)
So, in our case:
(x₁, y₁) = (-3, -4)
m = 4
now substituting m = 4 and (x₁, y₁) = (-3, -4) in the point-slope form of the line equation
Therefore, the point-slope form of the line is:
Hence, option B is correct.
- The graph of the line is also attached.
