# Draw the graphof leniar equation x+y=4?

Jun 21, 2018

graph{x+y=4 [-22.8, 22.81, -11.4, 11.42]}

#### Explanation:

$x + y = 4$
now to find the points where it intersects put
x=0 in the equation to get y=4 ......hence we got our first point(0,4)
again put y=0 to get x=4...............hence we got our second point(4,0)
join both the lines and extend bothways to get the graph

Jun 21, 2018

See below

#### Explanation:

You can rewrite the equation as $y = - x + 4$, i.e. $y = p \left(x\right)$, with $p \left(x\right)$ being a polynomial of degree $1$. Every polynomial of degree $1$ represents a line.

To draw a line, you only need to sample two points, and to sample two points you choose two values for $x$ and compute the corresponding $y$ values. Let's choose $x = 0$ and $x = 1$, we get

$y = - 0 + 4 = 4$
$y = - 1 + 4 = 3$

So, this line passes through the points $\left(0 , 4\right)$ and $\left(1 , 3\right)$.

Draw these two points and connect them, and you have the line.

graph{-x+4}