Question

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

Answer 1

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

Explanation:

The y-intercept is the value of `y` where the graph crosses the Y-axis. Since a point is on the Y-axis if and only if `x=0`, another way of say this is that the y-intercept is the value of `y` when `x=0`.
`color(white)("XXX")y=(0) + 2 rArr y=2`

`color(white)("XXX")`The y-intercept is `2`

Similarly, the x-intercept is the value of `x` when `y=0`.
`color(white)("XXX")0=x+2 rArr x=(-2)`

`color(white)("XXX")`The x-intercept is `(-2)`