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

Apr 10, 2018

$\text{y-intercept } = 2$

#### Explanation:

$\text{the equation of a line in "color(blue)"slope-intercept form}$ is.

•color(white)(x)y=mx+b

$\text{where m is the slope and b the y-intercept}$

$y = x + 2 \text{ is in this form}$

$\text{with y-intercept } = 2$
graph{x+2 [-10, 10, -5, 5]}

Apr 10, 2018

$y = 2$

#### Explanation:

$y = x + 2$
In the slope-intercept form of:
$y = m x + b$
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)