Question

How do you find the x and y intercepts for `-5x +3y =-9`?

Answer 1

`"x-intercept "=9/5," y-intercept "=-3`

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=0rArr0+3y=-9rArry=-3larrcolor(red)"y-intercept"`

`y=0rArr-5x+0=-9rArrx=9/5larrcolor(red)"x-intercept"`
graph{(y-5/3x+3)((x-0)^2+(y+3)^2-0.04)((x-9/5)^2+(y-0)^2-0.04)=0 [-10, 10, -5, 5]}