Given the function:
[tex]y=\frac{6}{5}x+1[/tex]This is a linear function, to graph it you need two points.
Let the y-intersect be one of them, you know that when x=0, y=1 → (0,1)
For the second point select any value of x and replece it in the formula, for example:
x=4
[tex]\begin{gathered} y=\frac{6}{5}x+1 \\ y=\frac{6}{5}\cdot4+1 \\ y=\frac{29}{5}=5.8 \end{gathered}[/tex]The second point is (4,5.8)
Draw both and link them with a line: