Question

How do you find the x and y intercepts for `3x+y=6`?

Answer 1

x- intercept: `(2, 0)`
y-intercept: `(0, 6)`

Explanation:

The x-intercept is the point at which the graph crosses the x-axis. Therefore, the y-coordinate at this point is zero. Knowing this, we can plug in `0` for `y` and solve the equation for `x`:

`3x+y=6`
`3x+0=6`
`3x=6`
`x=2`
So, the x-intercept is at `(2, 0)`.

Likewise, the y-intercept is the point at which the graph crosses the y-axis, and therefore the x-coordinate will be `0`. So we plug in `0` for `x` and solve for `y`:

`3x+y=6`
`3(0)+y=6`
`0+y=6`
`y=6`
So, the y-intercept is at `(0, 6)`.