The given function is-
[tex]y=-\frac{3}{5}x+8[/tex]To graph this linear function, we just need two points. Let's find the corresponding values of y when x = 0 and x = 5.
For x = 0.
[tex]y=-\frac{3}{5}(0)+8=8[/tex]So, the first point is (0, 8).
For x = 5.
[tex]y=-\frac{3}{5}(5)+8=-3+8=5[/tex]The second point is (5, 5).
Then, we graph these points to draw a straight line through them.
The image below shows the graph.