The equation is given to be:
[tex]4x-5y=1[/tex]
We can calculate the intercepts of the equation.
At x = 0,
[tex]\begin{gathered} -5y=1 \\ y=-\frac{1}{5} \\ y=-0.2 \end{gathered}[/tex]
At y = 0,
[tex]\begin{gathered} 4x=1 \\ x=\frac{1}{4} \\ x=0.25 \end{gathered}[/tex]
Therefore, the following points can be used to plot the line:
[tex](0,-0.2)\text{ and }(0.25,0)[/tex]
The graph is shown below:
