Answer:
The correct option is first graph.
Therefore,
The two points for the line y+5=-2(x-4) ( red color )line are
point A( x₁ , y₁) ≡ ( 0 , 3) .......Blue color
point B( x₂ , y₂) ≡ [tex](\dfrac{3}{2},0)[/tex] ............Green color
The Graph is attached below.
Step-by-step explanation:
Given:
[tex]y+5=-2(x-4)[/tex]
Which can also be written as
[tex]y=-2x+8-5\\y=-2x+3[/tex] .....Equation of line
Let the points be point A, and point B
To Find:
point A( x₁ , y₁) ≡ ?
point B( x₂ , y₂) ≡ ?
Solution:
For Drawing a graph we require minimum two points but we will have here three points.
For point A( x₁ , y₁)
Put x = 0 in the given equation we get
y = -2 × 0 +3
y =3
∴ y = 3
∴ point A( x₁ , y₁) ≡ ( 0 , 3)
For point B( x₂ , y₂)
Put y = 0 in the given equation we get
0 = -2x + 3
[tex]x=\dfrac{3}{2}[/tex]
∴ point B( x₂ , y₂) ≡ [tex](\dfrac{3}{2},0)[/tex]
Therefore,
The two points for the line y+5=-2(x-4) ( red color )line are
point A( x₁ , y₁) ≡ ( 0 , 3) .......Blue color
point B( x₂ , y₂) ≡ [tex](\dfrac{3}{2},0)[/tex] ............Green color
The Graph is attached below.
