Question

A line is represented by the equation y/x-2=3/11. What are the coordinates of some points that line on the line?

Answer 1

y/x-2=3/11 would be easier to work with if we were to put it into a more standard form, e. g., y = mx + b.

First, add 2 to both sides, to isolate y/x:

y/x = 3/11 + 22/11 = 25/11.

Next, mult. both sides by x, to get y by itself:  y = (25/11)x.  

This is your function.

Now make a table.  You can choose any x values you want, and then calculate y for each one.

x   y

0  0

1   25/11

3  (25/11)*3 = 75/11

Then we have three points on this line: (0,0), (1, 25/11), 3, 75/11).  You could obtain more by choosing additional x values.