For this case we have that by definition, the equation of the line in the slope-intersection form is given by:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following points through which the line passes:
![(x_ {1}, y_ {1}): (- 6,7)\\(x_ {2}, y_ {2}): (- 3,6)](https://tex.z-dn.net/?f=%28x_%20%7B1%7D%2C%20y_%20%7B1%7D%29%3A%20%28-%206%2C7%29%5C%5C%28x_%20%7B2%7D%2C%20y_%20%7B2%7D%29%3A%20%28-%203%2C6%29)
We find the slope of the line:
![m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {6-7} {- 3 - (- 6)} = \frac {-1} {-3 + 6} = \frac {-1} {3} = -\frac {1} {3}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%20%7By_%20%7B2%7D%20-y_%20%7B1%7D%7D%20%7Bx_%20%7B2%7D%20-x_%20%7B1%7D%7D%20%3D%20%5Cfrac%20%7B6-7%7D%20%7B-%203%20-%20%28-%206%29%7D%20%3D%20%5Cfrac%20%7B-1%7D%20%7B-3%20%2B%206%7D%20%3D%20%5Cfrac%20%7B-1%7D%20%7B3%7D%20%3D%20-%5Cfrac%20%7B1%7D%20%7B3%7D)
Thus, the equation of the line is of the form:
![y = - \frac {1} {3} x + b](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Cfrac%20%7B1%7D%20%7B3%7D%20x%20%2B%20b)
We substitute one of the points and find b:
![6 = - \frac {1} {3} (- 3) + b\\6 = 1 + b\\b = 5](https://tex.z-dn.net/?f=6%20%3D%20-%20%5Cfrac%20%7B1%7D%20%7B3%7D%20%28-%203%29%20%2B%20b%5C%5C6%20%3D%201%20%2B%20b%5C%5Cb%20%3D%205)
Finally, the equation is:
![y = - \frac {1} {3} x + 5](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Cfrac%20%7B1%7D%20%7B3%7D%20x%20%2B%205)
Answer:
![y = - \frac {1} {3} x + 5](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Cfrac%20%7B1%7D%20%7B3%7D%20x%20%2B%205)
Answer:
12 I think I counted it hope it's correct
Answer:
x>5
Step-by-step explanation:
> defines the dotted line while x determines where it is plotted and the side that is shaded