Question

How to find the `y`-intercept of the line `y=x+2`?

Answer 1

`"y-intercept "=2`

Explanation:

`"the equation of a line in "color(blue)"slope-intercept form"` is.

`•color(white)(x)y=mx+b`

`"where m is the slope and b the y-intercept"`

`y=x+2" is in this form"`

`"with y-intercept "=2`
graph{x+2 [-10, 10, -5, 5]}

Answer 2

`y=2`

Explanation:

`y=x+2`
In the slope-intercept form of:
`y=mx+b`
Where: m is the slope and b is the y-intercept, thus in this case:
The slope is 1 and the y-intercept is simply 2.

2nd methode:
To find the x or y intercepts in any form of the equation of the line, simply set y or x to zero and solve for x or y respectively.
For example in this case:
`y=x+2` => to find the x-intercept set y to zero and solve for x:
`0=x+2`
`x=-2` => the x-intercept is at:(-2, 0)

`y=x+2` => to find the y-intercept set x to zero solve for y:
`y=0+2`
`y=2` => the y-intercept is at:(0, 2)