Question

Find the x - and y - intercepts of the line. X + 3y=6Y intercept: ( , )X intercept: ( , )

Answer 1

Y intercept: (0, 2)

X intercept: (6, 0)

Explanation:

We have the following equation:

`x+3y=6`

The x-intercept is when y is equal to 0 and the y-intercept is when x is equal to 0, therefore:

`\begin{gathered} \text{ x-intercept } \\ x+3\cdot0=6 \\ x=6\rightarrow(6,0) \\ \text{ y-intercept } \\ 0+3\cdot y=6 \\ y=(6)/(3)=2\rightarrow(0,2) \end{gathered}`