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I need help like right now. Im brain dead

I need help like right now. Im brain dead-example-1

1 Answer

4 votes

Answer:

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!

User Belisa
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