Answer:
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Step-by-step explanation:
You know that two lines are parallel if they have the same slope, so the new line will also have slope
![m=\frac{1}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B3%7D)
Because the equation of the given line is written in the form
![\begin{gathered} y=mx+b \\ \text{Where} \\ m\colon\text{slope of the line} \\ b\colon\text{ y-intercept} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%3Dmx%2Bb%20%5C%5C%20%5Ctext%7BWhere%7D%20%5C%5C%20m%5Ccolon%5Ctext%7Bslope%20of%20the%20line%7D%20%5C%5C%20b%5Ccolon%5Ctext%7B%20y-intercept%7D%20%5Cend%7Bgathered%7D)
Then, you can use point slope equation, which is
![\begin{gathered} y-y_1=m(x_{}-x_1) \\ \text{Where} \\ (x_1,y_1)\colon\text{ point through which the line passes.} \\ m\colon\text{slope of the line} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y-y_1%3Dm%28x_%7B%7D-x_1%29%20%5C%5C%20%5Ctext%7BWhere%7D%20%5C%5C%20%28x_1%2Cy_1%29%5Ccolon%5Ctext%7B%20point%20through%20which%20the%20line%20passes.%7D%20%5C%5C%20m%5Ccolon%5Ctext%7Bslope%20of%20the%20line%7D%20%5Cend%7Bgathered%7D)
So,
![\begin{gathered} (x_1,y_1)=(0,6) \\ \text{ And you have} \\ y-y_1=m(x_{}-x_1) \\ y-6=\frac{1}{3}(x-0) \\ y-6=\frac{1}{3}x-0 \\ y-6=\frac{1}{3}x \\ \text{ Add 6 to both sides of the equation} \\ y-6+6=\frac{1}{3}x+6 \\ y=\frac{1}{3}x+6 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%28x_1%2Cy_1%29%3D%280%2C6%29%20%5C%5C%20%5Ctext%7B%20And%20you%20have%7D%20%5C%5C%20y-y_1%3Dm%28x_%7B%7D-x_1%29%20%5C%5C%20y-6%3D%5Cfrac%7B1%7D%7B3%7D%28x-0%29%20%5C%5C%20y-6%3D%5Cfrac%7B1%7D%7B3%7Dx-0%20%5C%5C%20y-6%3D%5Cfrac%7B1%7D%7B3%7Dx%20%5C%5C%20%5Ctext%7B%20Add%206%20to%20both%20sides%20of%20the%20equation%7D%20%5C%5C%20y-6%2B6%3D%5Cfrac%7B1%7D%7B3%7Dx%2B6%20%5C%5C%20y%3D%5Cfrac%7B1%7D%7B3%7Dx%2B6%20%5Cend%7Bgathered%7D)
Therefore, the equation of the line that is parallel to y=1/3x-2 and goes through point (0,6) is
If Josie bought a mirror with 5 sides it would be a pentagon
Answer:
less than, greater than, -7, 4
Hope This Helps!
The blue ray and the tv combined is 490 so just divide by 2 there’s your answer bud