# How do you graph y+x=3?

Jun 1, 2018

Refer Explanation.

#### Explanation:

$y + x = 3$

$y = - x + 3$

Comparing above equation with $y = m x + c$ ,we get,

$m = - 1$ & $c = 3$

Where, m=slope and c=y-intercept.

graph{3-x [-10, 10, -5, 5]}

We can also draw the graph by plotting random points satisfying equation of line.

Jun 1, 2018

$\text{see explanation}$

#### Explanation:

$\text{one way is to find the intercepts, that is where the}$
$\text{graph crosses the x and y axes}$

• " let x = 0, in the equation for y-intercept"

• " let y = 0, in the equation for x-intercept"

$x = 0 \Rightarrow y + 0 = 3 \Rightarrow y = 3 \leftarrow \textcolor{red}{\text{y-intercept}}$

$y = 0 \Rightarrow 0 + x = 3 \Rightarrow x = 3 \leftarrow \textcolor{red}{\text{x-intercept}}$

$\text{Plot the points "(0,3)" and } \left(3 , 0\right)$

$\text{and draw a straight line through them for graph}$
graph{(y+x-3)((x-0)^2+(y-3)^2-0.04)((x-3)^2+(y-0)^2-0.04)=0 [-10, 10, -5, 5]}