# How do you find the x and y intercepts for x + y = 10 ?

Apr 20, 2018

Put the equation into the intercept forms
y = mx + b and

#### Explanation:

x + y = 10 subtract x from both sides

$x - x + y = - x + 10$

 y = -1x + 10 The y line crossing at ( 0 , + 10 )

m the slope is -1 putting -1 in the equation and solving for y

gives y = -10

The y intercept is +10 the x intercept is -10

Apr 20, 2018

$\text{x-intercept "=10," y-intercept } = 10$

#### 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"#

6$x = 0 \Rightarrow 0 + y = 10 \Rightarrow y = 10 \leftarrow \textcolor{red}{\text{y-intercept}}$

$y = 0 \Rightarrow x + 0 = 10 \Rightarrow x = 10 \leftarrow \textcolor{red}{\text{x-intercept}}$