Question

How do you find the slope and intercept of `y=x+4`?

Answer 1

slope`=1`
y-intercept`=4`
x-intercept`=-4`

Explanation:

The equation can be written in slope-intercept form, which is:

`y=mx+b`

where:
`y=`y-coordinate
`m=`slope
`x=`x-coordinate
`b=`y-intercept

Looking back at your equation, this means that:

`m=1rArr` slope
`b=4rArr` y-intercept

To find the x-intercept, substitute `y` as `0`. The reason for this is that any x-intercept has a y-coordinate of `0`. When we substitute `y` as `0` into the equation, the only unknown variable left to solve will be `x`:

`y=x+4`
`0=x+4`
`-4=xrArr` x-intercept

Answer 2

Slope is `1`, `x` intercept `-4` and `y` intercept is `4`.

Explanation:

`color(white)(xx)y=x+4`

Let `m` be the slope. Then,
`color(white)(xx)y=mx+c`

`color(white)(xx)y=x+4`
Therefore slope is `1`.

For `x=0`,
`color(white)(xx)y=4`

For `y=0`,
`color(white)(xx)x=-4`

Therefore `x` intercept `-4` and `y` intercept is `4`.
graph{x+4 [-10, 10, -5, 5]}