Hello Tiarne,
To find the angle that this equation forms with the x-axis, we must first find the slope.
3x +5y+2=0
5y=-3x-2
y=(-3/5)x-2/5
Slope is -3/5. To find the angle of this slope consider the definitions of tangent:
tan(θ) = opp/adj = sin(θ)/cos(θ)
Tangent is the vertical component divided by the horizontal component, aka rise over run, aka the slope. So we can say:
tan(θ)=(-3/5)
tan^{-1}(-3/5)=θ
θ≈-30.964°
or θ≈-.5404 radians
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