Question

How do you find the x and y intercepts for `2x+6y=12`?

Answer 1

`2x+6y=12`

`=> x+3y = 6`

For x-intercept ,
plug in `y=0` and fin the value of `x`
`=> x +3(0) = 6`
`=> x=6`
Therefore the x-intercept is 6.

For y-intercept ,
plug in `x=0` and fin the value of `y`
`=> (0) +3y = 6`
`=> y=2`
Therefore the y-intercept is 2.

Alternatively, intercepts an also be found from the graph.
the points of intersection of the line representing `x+2y=6` and the x-axis and y-axis represents the x-intercept graph and y-intercept respectively.

graph{x+3y=6 [-10, 10, -5, 5]}