Question

How to find the x and y-intercept given `x+3y = -6`?

Answer 1

The y-intercept is `-2`, and the point is `(0,-2)`. The x-intercept is `-6` and the point is `(-6,0)`

To find the y-intercept, set x equal to zero.

`x+3y=-6`

`0+3y=-6`

`3y=-6`

`y=-6/3`

`y=-2`

To find the x-intercept, set y equal to zero.

`x+3y=-6`

`x+3*0=-6`

`x=-6`

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