The x-intercept is the value of x when y=0, is the point of the function where the line intersects with the x-axis.
To calculate said point you have to replace the formula with y=0 and solve for x:
[tex]\begin{gathered} 3y+x=6 \\ 3\cdot0+x=6 \\ x=6 \end{gathered}[/tex]The coordinates for the x-intercept of the given function are (6, 0)
