# How do you find the x and y intercepts for x + y = 6?

May 15, 2018

$\text{x-intercept "=6," y-intercept } = 6$

#### Explanation:

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

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

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

$x = 0 \Rightarrow 0 + y = 6 \Rightarrow y = 6 \leftarrow \textcolor{red}{\text{y-intercept}}$

$y = 0 \Rightarrow x + 0 = 6 \Rightarrow x = 6 \leftarrow \textcolor{red}{\text{x-intercept}}$
graph{(y+x-6)((x-0)^2+(y-6)^2-0.04)((x-6)^2+(y-0)^2-0.04)=0 [-20, 20, -10, 10]}

May 15, 2018

y assigning values to x ad the y

#### Explanation:

If x is zero, your y will be 6

If y is zero your x will be 6

The graph of your function (y=6-x)

graph{6-x [-6.16, 13.84, -2.24, 7.76]}