We are given the following equation:
[tex]y-1=\frac{1}{5}(x+4)[/tex]Using the distributive property:
[tex]y-1=\frac{1}{5}x+\frac{4}{5}[/tex]Adding 1 to both sides
[tex]y=\frac{1}{5}x+\frac{4}{5}+1[/tex]Solving the operations:
[tex]y=\frac{1}{5}x+\frac{9}{5}[/tex]To graph this line we need two points through which the line passes. The first point can be obtained by making x = 0:
[tex]\begin{gathered} y=\frac{1}{5}(0)+\frac{9}{5} \\ y=\frac{9}{5} \end{gathered}[/tex]Therefore, the first point is (0,9/5).
The second point can be obtained by making x = 1, we get:
[tex]\begin{gathered} y=\frac{1}{5}(1)+\frac{9}{5} \\ y=\frac{10}{5}=2 \end{gathered}[/tex]Therefore, the point is (1,2). Now we plot both points and join them with a line. The graph is:
