Question

Graph the system below and write its solution.

Answer 1

Answer:

See the graph attached. It has one solution: (6,-4)

Step-by-step explanation:

The slope-intercept form of a line is:

$y=mx+b$

Where m is the slope and b is the intersection of the line with the y-axis.

Given the first equation  $y =\frac{-1}{2}x -1$

You can identify that:

b=-1

Substitute y=0 to find the intersection with the x-axis

$0 =\frac{-1}{2}x -1\\1(-2)=x\\x=-2$

This line passes through the points (0,-1) and (-2,0)

Given the second equation:

$-2 + y = -6$

Solve for y:

$y = -6+2\\y=-4$

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)