Question

How do you find the x and y intercepts for `y=2/3x-8`?

Answer 1

`"x-intercept "=12," y-intercept "=-8`

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"`

`x=0rArry=0-8=-8larrcolor(red)"y-intercept"`

`y=0rArr2/3x-8=0`

`rArr2/3x=8rArrx=(8xx3)/2=12larrcolor(red)"x-intercept"`
graph{(y-2/3x+8)((x-0)^2+(y+8)^2-0.04)((x-12)^2+(y-0)^2-0.04)=0 [-20, 20, -10, 10]}