Question

Find the X and Y intercepts of the graph of the given equation3x+6y=54

Answer 1

Step 1

To find x-intercept, make x subject of the relation

3x + 6y = 54

3x = -6y + 54

Divide through by 3

`\begin{gathered} (3x)/(3)\text{ = }(-6y)/(3)\text{ + }(54)/(3) \\ x\text{ = -2y + 18} \end{gathered}`

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

`\begin{gathered} (6y)/(6)\text{ = }(-3x)/(6)\text{ + }(54)/(6) \\ y\text{ = }(-x)/(2)\text{ + 9} \end{gathered}`

Therefore y-intercept from y = mx + c

c is the intercept

Therefore, y-intercept = 9