We want to graph the line:
[tex]y=\frac{3}{5}x+3[/tex]
For doing so, we will choose two different x-values, and we will find its correspondent y-values. This gives us two different points, and when we trace the line that passes through those points, we will have the line we wanted.
In this exercise, we will choose x=0, and x=5.
For x = 0
[tex]y=\frac{3}{5}(0)+3=0+3=3[/tex]
This gives us the point (0,3).
For x = 5
[tex]y=\frac{3}{5}(5)+3=\frac{15}{5}+3=3+3=6[/tex]
This gives us the second point: (5,6).
Now, graphing the points on a cartesian plane, and drawing the line between them, we obtain:
