Question

How do you find the intercepts for `x+5y=0`?

Answer 1

The x-intercept is `0`
The y-intercspt is `0`

Explanation:

The x-intercept is the value of `x` when `y=0` for a given relationship. This is the same as saying it is the value where the relationship line crosses the X-axis (since for all points on the X-axis, `y=0`).

Substituting `0` for `y` in the given relationship: `x+5y =0` gives
`color(white)("XXX")x+5(0)=0 color(white)("XX")rarrcolor(white)("XX")x=0`

Similarly, the y-intercept is the value of `y` when `x=0` and using the same proscess we get
`color(white)("XXX")y=0`

graph{x+5y=0 [-10, 10, -5, 5]}