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You haven't shared all of the possible answers. The graph you've shared has a y-intercept of 4, which differs from the y-intercept of <span>y=−1/2x+8.
Go on to the other 3 possible answers. Which answer shows a y-intercept of 8 and a slope of -1/2?</span>
Answer:
Triangle EFG is dilated by a scale factor of 2 centered at (0, 2) to create triangle E'F'G'. Which statement is true about the dilation?
segment EG ≅ segment E prime G prime.
The slope of segment EF is the same as the slope of segment E prime H prime.
segment H prime F prime will overlap segment HF.
segment EH and segment E prime H prime both pass through the center of dilation.
Step-by-step explanation:
Using the fundamental counting theorem, we have that:
- 648 different area codes are possible with this rule.
- There are 6,480,000,000 possible 10-digit phone numbers.
- The amount of possible phone numbers is greater than 400,000,000, thus, there are enough possible phone numbers.
The fundamental counting principle states that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are ways to do both things.
For the area code:
- 8 options for the first digit.
- 9 options for the second and third.
Thus:

648 different area codes are possible with this rule.
For the number of 10-digit phone numbers:
- 7 digits, each with 10 options.
- 648 different area codes.
Then

There are 6,480,000,000 possible 10-digit phone numbers.
The amount of possible phone numbers is greater than 400,000,000, thus, there are enough possible phone numbers.
A similar problem is given at brainly.com/question/24067651
You can do this by first finding the y intercept which is the point where x = 0
-3(0) + y = 2
so y intercept is the point (0,2)
Now find the x intercept by putting y = 0
-3x = 2
x = -2/3
So we have 2 points (-2/3, 0) and (0,2) Draw a line through these 2 points and you have the required graph.