The answer is A 5*3=15 it must be an equal proportion so 6*x =15
The equation in required form is: -x+2y = 12
Step-by-step explanation:
Given equation is:
![y = \frac{1}{2}x+6](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B2%7Dx%2B6)
In order to convert the equation in ![Ax+By = C](https://tex.z-dn.net/?f=Ax%2BBy%20%3D%20C)
Multiplying both sides by 2
![2y = \frac{1}{2}x * 2 + 6*2\\2y = x + 12](https://tex.z-dn.net/?f=2y%20%3D%20%5Cfrac%7B1%7D%7B2%7Dx%20%2A%202%20%2B%206%2A2%5C%5C2y%20%3D%20x%20%2B%2012)
subtracting x from both sides
![2y-x = x-x+12\\2y-x = 12\\-x+2y = 12](https://tex.z-dn.net/?f=2y-x%20%3D%20x-x%2B12%5C%5C2y-x%20%3D%2012%5C%5C-x%2B2y%20%3D%2012)
Hence,
The equation in required form is: -x+2y = 12
Keywords: Linear equation, slope
Learn more about linear equation at:
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Answer:
![\frac{-1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B2%7D)
Step-by-step explanation:
Slope = ![\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
insert points
![\frac{1-(-6)}{(-4)-10}](https://tex.z-dn.net/?f=%5Cfrac%7B1-%28-6%29%7D%7B%28-4%29-10%7D)
solve
![\frac{7}{-14}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B-14%7D)
![\frac{-1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B2%7D)
Answer:
<VYX +<YVX+<VXY=180 SUM OF THE INTERIOR ANGLE OF THE TRIANGLE
90+5X-12+2X-3=180
7X=180-75
X=105/7=15
X=15°
again
in right angled triangle XYZ
<Y+<Z+<X=180
<y+90+2×15-3=180
[here diagonal of the rectangular bisect each at 90°]
<Y=180-117=63°
M<VWZ= <XYZ=63° alternate angle
The answer will going to be A