Answer:
2
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1- You have that the equation of the line is:
![y=mx+b](https://tex.z-dn.net/?f=%20y%3Dmx%2Bb%20)
Where
is the slope and
is the y-intercept.
2- Based on the information given in the problem, the lines
and
are parallel, which means that both have the same slope. Therefore, you can calculate the slope of
:
![m=\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=%20m%3D%5Cfrac%7By2-y1%7D%7Bx2-x1%7D%20%20)
![m=\frac{4-1}{1-(-6)}=\frac{3}{7}](https://tex.z-dn.net/?f=%20m%3D%5Cfrac%7B4-1%7D%7B1-%28-6%29%7D%3D%5Cfrac%7B3%7D%7B7%7D%20%20)
3- Use the coordinates of the point
to calculate the y-intercept:
![2=\frac{3}{7}(7)+b](https://tex.z-dn.net/?f=%202%3D%5Cfrac%7B3%7D%7B7%7D%287%29%2Bb%20)
4. Solve for
:
![b=2-3=-1](https://tex.z-dn.net/?f=%20b%3D2-3%3D-1%20)
5. The equation of the line
is:
![y=\frac{3}{7}x-1](https://tex.z-dn.net/?f=%20y%3D%5Cfrac%7B3%7D%7B7%7Dx-1%20)
The answer is: ![y=\frac{3}{7}x-1](https://tex.z-dn.net/?f=%20y%3D%5Cfrac%7B3%7D%7B7%7Dx-1%20)
1-9 the answer is -8of the circle