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:
![\begin{gathered} y=-(1)/(6)x+1 \\ \\ y=-(1)/(6)\cdot(0)+1 \\ y=1 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ak72zplijof8w2gxp4apkd5eo1j1si7kr7.png)
Now, let's find the value of X when Y = 0:
![\begin{gathered} y=-(1)/(6)x+1 \\ \\ 0=-(1)/(6)x+1 \\ \\ (1)/(6)\cdot x=1 \\ x=6 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/9kjdzgsvfpxg0d9boa7t94zuitepp17gn9.png)
So, when x = 6, y = 0.
Now, let's draw the graph passing through these two points: