What are the x and y intercepts of: 6x + 3y = 12

Question

asked Aug 26, 2023 84.5k views

1 Answer

DCurro · Answer 1 · 2023-08-30T04:21:03+0000

You have the following equation:

To determine both x and y intercepts, proceed as follow:

x-intercept: makes y = 0 and solve for x in the given equation

$\begin{gathered} 6x+3(0)=12 \\ 6x=12 \\ x=(12)/(6)=2 \end{gathered}$

Hence, the xintercept is x = 2

y-intercept: makes x =0 and solve for y:

$\begin{gathered} 6(0)+3y=12 \\ 3y=12 \\ y=(12)/(3)=4 \end{gathered}$

Hence, the y-intercept is y = 4