What are the characteristics of the graph of the inequality x ≤ -8?
2 answers:
2 Answers:
Choice C) It will use a closed circle
Choice D) The ray will move to the left
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Explanation:
The inequality means that x = -8 or x < -8. Since we're including -8 itself, which is the endpoint, we'll use a closed circle. In contrast, an open circle would be used if the inequality was
to exclude the endpoint -8.
The ray is to the left because we're visually describing all values smaller than -8. Such example values are -10 and -22 as these values are to the left of -8 on the number line.
In short, the graph consists of a closed circle at the endpoint -8 and the arrow is to the left. We can say the shading is to the left.
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Answer:
(0, 3)
Step-by-step explanation:
1. Find the slope:
2. Calculate the y-intercept using a given point:
(-8, -3)
-3 = + b
-3 = -6 + b
-3+6 = -6+6 + b
3 = b
3. Write in slope intercept form:
Therefore, the y-intercept is 3.
The graph for this table is shown below.
hope this helps :)
