5x - 12y = 24 - it's a standard form of equation of a line
The slope-intercept form: y = mx + b
m - slope
b - y-intercept.
Convert the standard form to the slope-intercept form:
[tex]5x - 12y = 24[/tex] subtract 5x from both sides
[tex]-12y=-5x+24[/tex] divide both sides by (-12)
[tex]y=\dfrac{5}{12}x-2[/tex]
Answer: [tex]\boxed{\dfrac{5}{12}}[/tex]