If you want to find where line `y=1/2x-4` intercepts `x`-axis and `y`-axis, you simply do the following:

**x-axis**

Line intercepts `x`-axis at point where `y=0` ` ` so we have

`0=1/2x-4=>1/2x=4` multiply equation by 2

`x=8`

**y-axis**

Line intercepts `y`-axis at point where `x=0` so we have

`y=1/2cdot0-4=>y=-4`

Another way to find points where a line intercepts `x` and `y` axis is to write equation of line in segment form

`y=1/2x-4`

`y-1/2x=-4`

`y/-4+x/8=1` intercept points are `(0,-4)` and `(8,0)`.

Or more generally if you have line equation in segment form `x/m+y/n=1` then your points of intersection of that line and `x` and `y` axes are `(m,0)` and `(0,n).`

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