Question

What are the intercepts of the line `y = –2x + 8`?

Answer 1

the answer is `y=8` and `x=4`

Explanation:

see this graph:https://www.desmos.com/calculator/r4vhmjhwyy
you already know that the y-int would be `8` from the graph b/c remember the formula `y=mx+b` and the `b` would always be your y-int and then you just have to graph to find what the `x` is

Answer 2

The `y`-intercept is `(0,8)`.
The `x`-intercept is `(4,0)`.

Explanation:

To find the `y`-intercept, plug in `0` for `x` and you solve to get `8`

`y=-2x+8`

`y=-2(0)+8`

`y=0+8`

`y=0`

To find the `x`-intercept, plug in `0` for `y` and you solve to get `4`

`y=-2x+8`

`0=-2x+8`

`2x=8`

`x=0`

Answer 3

The y-intercept is `(0,8)`
The x-intercept is `(4,0)`

Explanation:

y-intercept: you make `x=0` so y= 0+8 so y intercept is(0,8)
x-intercept: you make `y=0` so `0=-2x+8` `=>` `-2x=-8` so x-intercept is `(4,0)`