Question

How do you find the x and y intercepts for `y=4-5x`?

Answer 1

`"x-intercept "=4," y-intercept "=4/5`

Explanation:

`"to obtain 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=4-0=4larrcolor(red)"y-intercept"`

`y=0rArr4-5x=0`

`rArr-5x=-4rArrx=(-4)/(-5)=4/5larrcolor(red)"x-intercept"`
graph{(y-4+5x)((x-0)^2+(y-4)^2-0.04)((x-4/5)^2+(y-0)^2-0.04)=0 [-10, 10, -5, 5]}