How do you graph the line $y = x + 2$ $y = x + 2$ ?

Question

14730 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-29T04:51:30

$y$ $y$ is a straight line of slope $1$ $1$ and y-intercept of $2$ $2$
$y$ $y$ has a single zero at $x = - 2$ $x=-2$

The equation of a straight line in slope $(m)$ $(m)$ and y-intercept $(c)$ $(c)$ form is:

$y = m x + c$ $y=mx+c$

In our example: $m = 1$ $m=1$ and $c = 2$ $c=2$

Hence: $y$ $y$ is a straight line of slope $1$ $1$ and y-intercept of $2$ $2$

$y = 0 \to x + 2 = 0$ $y=0 -> x+2 = 0$

$x = - 2$ $x=-2$

Hence: $y$ $y$ has a single zero at $x = - 2$ $x=-2$

These points can be seen on the graph of $y$ $y$ below:

graph{x+2 [-5.597, 5.503, -2.153, 3.397]}

How do you graph the line y=x+2 y = x + 2?