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

##### 2 Answers

Apr 20, 2018

Put the equation into the intercept forms

y = mx + b and

#### Explanation:

x + y = 10 subtract x from both sides

# 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

#### Explanation:

#"To find the intercepts, that is where the 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"# 6

#x=0rArr0+y=10rArry=10larrcolor(red)"y-intercept"#

#y=0rArrx+0=10rArrx=10larrcolor(red)"x-intercept"#