Slopes of lines drawn with LATEX

Table tb:slopes lists the first quadrant slopes of lines that can be typeset with LATEX, together with the corresponding degrees of angle. The integers xs and ys represent the slope in LATEX's line-drawing statement
\put(x,y){\line(xs,ys){length}}
Corresponding angles in the other quadrants can be generated by preceding xs and/or ys with a minus sign.

Table: Slopes of lines possible with LATEX
xs, ys tanθ(ys/xs) θ(degrees)
1,0 0.00 0.0
6,1 0.17 9.5
5,1 0.20 11.3
4,1 0.25 14.0
3,1 0.33 18.5
5,2 0.40 21.8
2,1 0.50 26.5
5,3 0.60 31.0
3,2 0.67 33.7
4,3 0.75 36.8
5,4 0.80 38.7
6,5 0.83 39.8
1,1 1.00 45.0
5,6 1.20 50.2
4,5 1.25 51.3
3,4 1.33 53.2
2,3 1.50 56.3
3,5 1.67 59.0
1,2 2.00 63.5
2,5 2.50 68.2
1,3 3.00 71.5
1,4 4.00 76.0
1,5 5.00 78.7
1,6 6.00 80.5
0,1 90.0