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

x - x + y = -x +10 xx+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

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

Explanation:

"To find the intercepts, that is where the graph crosses"To find the intercepts, that is where the graph crosses
"the x and y axes"the x and y axes

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

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

6x=0rArr0+y=10rArry=10larrcolor(red)"y-intercept"x=00+y=10y=10y-intercept

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