Question

I need help like right now. Im brain dead

Answer 1

y-intercept:
`(0,-(5)/(2) )`

x-intercept:
`(-2,0)`

Explanation:

Hi there!

Important things to note:

• the y-intercept occurs when x=0
• the x-intercept occurs when y=0

1) Find the y-intercept

`-5x-4y=10`

Substitute x with 0

`-5(0)-4y=10\\0-4y=10\\-4y=10`

Divide both sides by -4

`(-4y)/(-4) =(10)/(-4) \\y=-(5)/(2)`

Therefore, the y-intercept is
`-(5)/(2)`. When written in (x,y) form, x will always be 0 while y is the y-intercept:

`(0,-(5)/(2) )`

2) Find the x-intercept

`-5x-4y=10`

Substitute y with 0

`-5x-4(0)=10\\-5x-0=10\\-5x=10`

Divide both sides by -5

`-5x=10\\(-5x)/(-5)= (10)/(-5) \\x=-2`

Therefore, the x-intercept is -2. When written in (x,y) form, x will always be the x-intercept while y is always 0:

`(-2,0)`

I hope this helps!