First, let's write these information asana equation of the line:
y = mx + n
y = -1/6x + 1
Obs: when the slope is negative, the line is decrescent.
Knowing that, when X = 0, Y = 1, look:
[tex]\begin{gathered} y=-\frac{1}{6}x+1 \\ \\ y=-\frac{1}{6}\cdot(0)+1 \\ y=1 \end{gathered}[/tex]
Now, let's find the value of X when Y = 0:
[tex]\begin{gathered} y=-\frac{1}{6}x+1 \\ \\ 0=-\frac{1}{6}x+1 \\ \\ \frac{1}{6}\cdot x=1 \\ x=6 \end{gathered}[/tex]
So, when x = 6, y = 0.
Now, let's draw the graph passing through these two points:
