Question

Graph the equation 3x+2y+z=6

Answer 1

Turn 3x+2y+z=6 to z= -3x - 2y + 6 and then create a table for x and y and start inserting numbers in the table for x and y and then insert the numbers where x and y is located in z= -3x - 2y + 6 to solve for z

Answer 2

Answer with explanation:

The given equation of plane in three dimension is :

    3 x +2 y +z=6

Writing it in slope Intercept form

$\rightarrow \frac{3x}{6}+\frac{2 y}{6}+\frac{z}{6}=1\\\\\rightarrow \frac{x}{2}+\frac{y}{3}+\frac{z}{6}=1$

The plane will cut , X axis at (2,0,0), Y axis at (0,3,0) and Z axis at (0,0,6).