Answer: Choice A
y + 1 = -3(x+2)
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Explanation:
Let's look through the answer choices.
Choices C and D show that the point (2,1) is on the line. But the graph does not show this. So we can rule out choices C and D.
With choice A, the slope is negative and choice B has a positive slope.
The answer must be choice A because the line is going downhill as we move from left to right.
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A common method is to pick two points on the line and compute the slope using the slope formula
m = (y2-y1)/(x2-x1)
Once you know the slope, you would use point slope form
y - y1 = m(x - x1)
Answer:

Step-by-step explanation:
Apply the Midsegment Theorem:
![\displaystyle \frac{1}{2}[96 - 4x]° = [5x + 6]° → [48 - 2x]° = [5x + 6]° → -42 = -7x; 6 = x \\ \\ [48 - 2(6)]° = [48 - 12]° = 36° \\ \\ AND/OR \\ \\ [5(6) + 6]° = [30 + 6]° = 36°](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B1%7D%7B2%7D%5B96%20-%204x%5D%C2%B0%20%3D%20%5B5x%20%2B%206%5D%C2%B0%20%E2%86%92%20%5B48%20-%202x%5D%C2%B0%20%3D%20%5B5x%20%2B%206%5D%C2%B0%20%E2%86%92%20-42%20%3D%20-7x%3B%206%20%3D%20x%20%5C%5C%20%5C%5C%20%5B48%20-%202%286%29%5D%C2%B0%20%3D%20%5B48%20-%2012%5D%C2%B0%20%3D%2036%C2%B0%20%5C%5C%20%5C%5C%20AND%2FOR%20%5C%5C%20%5C%5C%20%5B5%286%29%20%2B%206%5D%C2%B0%20%3D%20%5B30%20%2B%206%5D%C2%B0%20%3D%2036%C2%B0)
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Ahh, basic shapes. Split up the weird shapes into easier ones. #1 can be truned into 2 trapezoids. #2 can be turned into 2 circles. #3 is a triangle and a trapezoid. #4 is 2 right triangles. #5 is a rectangel and a traingle. Finally, #6 is 3 traigles and a rectangle. Do you see how we broke the hard shapes into easier shapes?
The lines are parallel, because they have the same gradient but are just in different positions ie. y = x-9.