Add a explanation with your answer


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