Answer :
Step 1
To find x-intercept, make x subject of the relation
3x + 6y = 54
3x = -6y + 54
Divide through by 3
[tex]\begin{gathered} \frac{3x}{3}\text{ = }\frac{-6y}{3}\text{ + }\frac{54}{3} \\ x\text{ = -2y + 18} \end{gathered}[/tex]Therefore x intercept from x = my + c
c is the intercept
Therefore, x intercept = 18
To find x-intercept, make x subject of the relation
3x + 6y = 54
6y = -3x + 54
Divide through by 6
[tex]\begin{gathered} \frac{6y}{6}\text{ = }\frac{-3x}{6}\text{ + }\frac{54}{6} \\ y\text{ = }\frac{-x}{2}\text{ + 9} \end{gathered}[/tex]Therefore y-intercept from y = mx + c
c is the intercept
Therefore, y-intercept = 9