This is the slope-intercept formula.
The slope is 5/3.
The y-intercept is 0--when x=0, y=0
The slope is the (change of y)/(change of x).
The slope is (y-y1)/(x-x1).
In other words, if we take two coordinates, this is how to represent these as the slope.
When y changes 5 units, x changes 3 units.
Slope is defined as rise/run.
When the line rises up 5 units, it also runs right 3 units.
Let's randomly select one set of coordinates...
How about (6, 10)?
The other coordinates must be (3,5).
Does this help? If not, please let me know.