Question

Question #5aa63

Answer 1

`(1,0)`

Explanation:

An `x`-intercept occurs at any point `(x, 0)`, that is, any point where `y=0`.

If we simplify the given equation:

`x-4/3x = -1/3`

`=> -1/3x = -1/3`

`=> x = 1`

we find that the graph is the locus of points such that `x=1`, i.e. points of the form `(1, y)`. As there is one point on that graph at which `y=0`, we have a single `x`-intercept at `(1,0)`.

graph{10000(x-1) [-1, 3, -3, 3]}