Question

How do you find the intercepts for `x + 2y = 10`?

Answer 1

To find the x intercept set `y=0` in your equation then solve for `x`.
To find the y intercept set `x=0` in your equation then solve for `y`.

Explanation:

Given `x+2y = 10`

x-intercept
set `y=0`
`color(white)("XXXX")` `x +2(0)=10`
`color(white)("XXXX")` `x = 10`

y-intercept
set `x=0`
`color(white)("XXXX")` `(0) + 2y = 10`
`color(white)("XXXX")` `y = 5`

The x intercept is 10.
The y intercept is 5.