Question

What are the intercepts of `y=2x+6`?

Answer 1

y-intercept : `6`
x-intercept : `-3`

Explanation:

Interception of `x` can be found by assuming the value of `y` to be `0` since this is how `x` can intercept `y`, by reaching it's axis with a value of `0`.

Same goes with interception of `y`.

Regarding your question :

`y = 2x + 6`

By using the formulae `y=mx+c`
`c` stands for `y`-intercept
∴ `y`-intercept = 6

To find `x`-intercept, `y=0`
∴ `0 = 2x+6`
∴ `x`-intercept = `-3`

Answer 2

`y`-Int. `= 6`

`x`-Int. =`-3`

Explanation:

To find the `x` intercept, you let `y=0`

`2x+6 = 0`

Then you minus `6` on both sides

`2x=-6`

Then you divide by `2` on both sides

`x=-3`

To find the `y`-intercept, you let `x=0`

`y = 2xx0+6`

`y = 0+6`

`y=6`