y-0=5/-3(x-(-4)
convert to slope intercept form
y - 0 = 5/-3(x - (-4))
Drop the -0; change 5/-3 to -5/3; change - (-4) to +4:
y = -5/3(x + 4)
Use the distributive property: multiply through by -5/3:
y = (-5/3)x - 20/3
Slope = -5/3
Y-intercept = -20/3