Respuesta :

Answer:

The Correct option is C .

The Graph is attached below

[tex]y+5=-\dfrac{3}{4}(x-8)[/tex] .......Red Line

point A( x₁ , y₁) ≡ ( 0 , 1)          ..........Blue color

point B( x₂ , y₂)  ≡ (4/3 , 0)   ..............Green Color

Step-by-step explanation:

Given:

[tex]y+5=-\dfrac{3}{4}(x-8)[/tex]

For Drawing a graph we require minimum two points.  

For point A( x₁ , y₁)

Put x = 0 in the given equation we get

y +5 = 6

∴ y = 1

∴ point A( x₁ , y₁) ≡ ( 0 , 1)

For point B( x₂ , y₂)

Put y= 0 in the given equation we get

20 =-3x+24

3x = 4

[tex]x=\dfrac{4}{3}=1.33333[/tex]

∴ point B( x₂ , y₂)  ≡ (4/3 , 0)

The Graph is attached below

[tex]y+5=-\dfrac{3}{4}(x-8)[/tex] .......Red Line

point A( x₁ , y₁) ≡ ( 0 , 1)          ..........Blue color

point B( x₂ , y₂)  ≡ (4/3 , 0)   ..............Green Color