The graph is attached.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
![y=mx+b](/tpl/images/0369/4558/904ac.png)
Where "m" is the slope and "b" is the y-intercept.
The line intersects the x-axis when
.
Having the first equation:
![y=−x+4](/tpl/images/0369/4558/0e51a.png)
Notice that:
![b=4](/tpl/images/0369/4558/53753.png)
Substituting
into the first equation and solving for "x", you get the x-intercept:
![0=-x+4\\\\x=4](/tpl/images/0369/4558/992fd.png)
Knowing that this line passes through the points
and
, you can graph it.
Having the second equation:
![18x+6y=−6](/tpl/images/0369/4558/3a1d2.png)
We you must solve for "y":
![18x+6y=-6\\\\6y=-18x-6\\\\y=-3x-1](/tpl/images/0369/4558/43a90.png)
Notice that:
![b=-1](/tpl/images/0369/4558/177ed.png)
Substituting
into threequation and solving for "x", you get that the x-intercept is:
![0=-3x-1\\1=-3x\\\\x=-\frac{1}{3}](/tpl/images/0369/4558/80763.png)
Since the second line passes through the points
and
, we can graph it.
![Need fast will give brainliestgraph the system of equations.y=−x+418x+6y=−6](/tpl/images/0369/4558/a9645.jpg)