Answer:
See the graph attached. It has one solution: (6,-4)
Step-by-step explanation:
The slope-intercept form of a line is:
[tex]y=mx+b[/tex]
Where m is the slope and b is the intersection of the line with the y-axis.
Given the first equation [tex]y =\frac{-1}{2}x -1[/tex]
You can identify that:
b=-1
Substitute y=0 to find the intersection with the x-axis
[tex]0 =\frac{-1}{2}x -1\\1(-2)=x\\x=-2[/tex]
This line passes through the points (0,-1) and (-2,0)
Given the second equation:
[tex]-2 + y = -6[/tex]
Solve for y:
[tex]y = -6+2\\y=-4[/tex]
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)
