Answer with explanation:
The given equation of plane in three dimension is :
3 x +2 y +z=6
Writing it in slope Intercept form
[tex]\rightarrow \frac{3x}{6}+\frac{2 y}{6}+\frac{z}{6}=1\\\\\rightarrow \frac{x}{2}+\frac{y}{3}+\frac{z}{6}=1[/tex]
The plane will cut , X axis at (2,0,0), Y axis at (0,3,0) and Z axis at (0,0,6).
