Question

How do you find the x and y intercepts for `2x+y=14`?

Answer 1

`x=7y=14`

Explanation:

The intercepts are where the graph crosses the two axes.
The `y` axis is the line `x=0`
The `x` axis is the line `y=0`
So substitute the values `x=0 and y=0`

`2x+0=14`.
`2x=14`.
`x=14`

`0+y=14`
`y=14`

Answer 2

`x=7`
`y=14`

Explanation:

it intercepts the `y` axis when the `x` equal to zero.

`2(0)+y=14`

at `y=14`

it intercepts the `x` axis when the `y` equal to zero.

`2(x)+0=14`

`x=7`