Answer: The graph is attached.
Step-by-step explanation:
1. The equation of the line has the following form:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
2. Then, you must solve for y, as following:
[tex]3x+6y=6\\6y=-3x+6\\y=\frac{-3x+6}{6}\\y=-\frac{1}{2}x+1[/tex]
The line intersects the y-axis at 1.
4. The line intersects the x-axis when y=0, then:
[tex]y=-\frac{1}{2}x+1\\0=-\frac{1}{2}x+1\\\frac{1}{3}x=1\\x=2[/tex]
The lline intersects the x-axis at 2.
5. Therefore, the line passes through the points (0,1) and (2,0).
6. The correct graph is attached.
