Question

What are the slope and x- and y-intercepts of the equation below?3x - 6y = 18

Answer 1

To find the x-intercept, we make y = 0.

`\begin{gathered} 3x-6y=18 \\ 3x-6(0)=18 \\ 3x=18 \\ x=(18)/(3) \\ x=6 \end{gathered}`

Hence, the x-intercept is (6,0).

To find the y-intercept, we make x = 0.

`\begin{gathered} 3(0)-6y=18 \\ -6y=18 \\ y=-(18)/(6) \\ y=-3 \end{gathered}`

Hence, the y-intercept is (0, -3).