I need help like right now. Im brain dead

Question

asked Jun 2, 2022 66.5k views

1 Answer

Belisa · Answer 1 · 2022-06-07T02:30:47+0000

Answer:

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

x-intercept:
(-2,0)

Explanation:

Hi there!

Important things to note:

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!