# How do you graph y+2=-(x-4)?

Sep 10, 2017

$\text{see explanation}$

#### Explanation:

$\text{we can begin by expressing the equation in }$
$\textcolor{b l u e}{\text{slope-intercept form}}$

•color(white)(x)y=mx+b

$\Rightarrow y + 2 = - x + 4 \leftarrow \text{ distributing bracket}$

$\Rightarrow y = - x + 2$

$\text{we can now find the intercepts, that is where the }$
$\text{line crosses the x and y axes}$

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

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

$x = 0 \to y = 0 + 2 \Rightarrow y = 2 \leftarrow \textcolor{red}{\text{ y-intercept}}$

$y = 0 \to 0 = - x + 2 \Rightarrow x = 2 \leftarrow \textcolor{red}{\text{ x-intercept}}$

$\text{plot "(0,2)" and "(2,0)" and draw a straight line }$
$\text{through them}$
graph{-x+2 [-10, 10, -5, 5]}