Question

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

Answer 1

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

Answer 2

`"x-intercept "=10," y-intercept "=10`

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"`