Answer:
(I am assuming that you don't need the answer, but just an explanation of what to do.) Let's take the first problem for an example the first thing you are going to do is subtract 12 on both sides and you will get n> -1 so then you will put a open circle on -1 going to the right.
Hope this helps :)
Answer:
6,7,8,9,10
Step-by-step explanation:
Y=2x +4 is non proportional because b does not equal 0
The b in the equation is 4
As long as the y intercept is not more or less than 0, than it will be proportional
The slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
The coordinates
of the points:
![(-3;\ -1)\to x_1=-3;\ y_1=-1;\ \left(\dfrac{1}{2};\ 2\right)\to x_2=\dfrac{1}{2};\ y_2=2](https://tex.z-dn.net/?f=%28-3%3B%5C%20-1%29%5Cto%20x_1%3D-3%3B%5C%20y_1%3D-1%3B%5C%20%5Cleft%28%5Cdfrac%7B1%7D%7B2%7D%3B%5C%202%5Cright%29%5Cto%20x_2%3D%5Cdfrac%7B1%7D%7B2%7D%3B%5C%20y_2%3D2)
Substitute:
![m=\dfrac{2-(-1)}{\frac{1}{2}-(-3)}=\dfrac{3}{3\frac{1}{2}}=\dfrac{3}{\frac{7}{2}}=3\cdot\dfrac{2}{7}=\dfrac{6}{7}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B2-%28-1%29%7D%7B%5Cfrac%7B1%7D%7B2%7D-%28-3%29%7D%3D%5Cdfrac%7B3%7D%7B3%5Cfrac%7B1%7D%7B2%7D%7D%3D%5Cdfrac%7B3%7D%7B%5Cfrac%7B7%7D%7B2%7D%7D%3D3%5Ccdot%5Cdfrac%7B2%7D%7B7%7D%3D%5Cdfrac%7B6%7D%7B7%7D)
We have:
![y=\dfrac{6}{7}x+b](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B6%7D%7B7%7Dx%2Bb)
Substitute the coordinates of the point (-3; -1) to the equation of the line:
![-1=\dfrac{6}{7}\cdot(-3)+b\\\\-1=-\dfrac{18}{7}+b\ \ \ |+\dfrac{18}{7}\\\\b=\dfrac{11}{7}](https://tex.z-dn.net/?f=-1%3D%5Cdfrac%7B6%7D%7B7%7D%5Ccdot%28-3%29%2Bb%5C%5C%5C%5C-1%3D-%5Cdfrac%7B18%7D%7B7%7D%2Bb%5C%20%5C%20%5C%20%7C%2B%5Cdfrac%7B18%7D%7B7%7D%5C%5C%5C%5Cb%3D%5Cdfrac%7B11%7D%7B7%7D)
Therefore we have:
![y=\dfrac{6}{7}x+\dfrac{11}{7}\ \ \ |\cdot7\\\\7y=6x+11\ \ \ |-6x\\\\\boxed{-6x+7y=11}](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B6%7D%7B7%7Dx%2B%5Cdfrac%7B11%7D%7B7%7D%5C%20%5C%20%5C%20%7C%5Ccdot7%5C%5C%5C%5C7y%3D6x%2B11%5C%20%5C%20%5C%20%7C-6x%5C%5C%5C%5C%5Cboxed%7B-6x%2B7y%3D11%7D)
Answer:
C. -6x + 7y = 11
Answer:
The equation of the line that passes through the point (-5,2) and is parallel to the line 4x-5y is 5y-4x = 30
Step-by-step explanation: