See the graph attached. It has one solution: (6,-4)
Step-by-step explanation:
The slope-intercept form of a line is:
![y=mx+b](/tpl/images/0318/8949/904ac.png)
Where m is the slope and b is the intersection of the line with the y-axis.
Given the first equation ![y =\frac{-1}{2}x -1](/tpl/images/0318/8949/f6106.png)
You can identify that:
b=-1
Substitute y=0 to find the intersection with the x-axis
![0 =\frac{-1}{2}x -1\\1(-2)=x\\x=-2](/tpl/images/0318/8949/95a48.png)
This line passes through the points (0,-1) and (-2,0)
Given the second equation:
![-2 + y = -6](/tpl/images/0318/8949/8afa7.png)
Solve for y:
![y = -6+2\\y=-4](/tpl/images/0318/8949/7eb6f.png)
It passes through the point (0,-4).
Now, you can graph. See the figure attached.
It has one solution,which is the point of intersection of both lines: (6,-4)
![Graph the system below and write its solution. y = -1/2 x -1 -2 + y = -6 .. there is also no solut](/tpl/images/0318/8949/bafb2.jpg)