how to determine the acute angle between the line 2x+3y=6 and the y axis?

Answer 1

3 y = -2x + 6
y = (-2/3) x + 2
so slope m = -2/3
tan angle to X axis = -2/3
angle to X axis = -33.7
angle to y axis = 90 -33.7 = 56.3