Question

How do you find the x and y intercepts for `8x + 3y = 48`?

Answer 1

`x` intercept: `(6,0)`
`y` intercept: `(0,16)`

Explanation:

The `x` intercept is a point on the `x` axis, so it's a point with coordinates `(x,0)`. Similarly, a point on the `y` axis is a point of the form `(0,y)`.

So, you find the intercept with one axis by setting the other variable to `0`:

`y`-intercept: set the `x` coordinate to zero.

`8*0+3y=48`

`3y=48`

`y=16`

So, the point `(0,16)` belongs to the line, and it is its `y` incercept.

`x`-intercept: set the `y` coordinate to zero.

`8x+3*0=48`

`8x=48`

`x=6`

So, the point `(6,0)` belongs to the line, and it is its `x` incercept.