Question

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

Answer 1

x-intercept: `(-2)`
y-intercept: `(+2)`

Explanation:

The x-intercept is the value of `x` when `y=0`
`color(white)("XXX")y=x+2` with `y=0`
`color(white)("XXX")rarr 0=x+2`
`color(white)("XXX") rarr x=-2`

The y-intercept is the value of `y` when `x=0`
`color(white)("XXX")y=x+2` with `x=0`
`color(white)("XXX")rarr y=0+2`
`color(white)("XXX")rarr y=2`

Occasionally you may get a teacher who wants the intercepts expressed as
(1) coordinates
`color(white)("XXX")`in which case the x-intercept is at `(-2,0)`
`color(white)("XXX")`and the y-intercept is at `(0,2)`
or
(2) an equation
`color(white)("XXX")`in which case the x-intercept is `x=-2`
`color(white)("XXX")`and the y-intercept is `y=2`