Question

PLEASEEEE HELPPPPPPPPPPP

Answer 1

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) ≡
`((3)/(2),0)` ............Green color

The Graph is attached below.

Explanation:

Given:

`y+5=-2(x-4)`

Which can also be written as

`y=-2x+8-5\\y=-2x+3` .....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

`x=(3)/(2)`

∴ point B( x₂ , y₂) ≡
`((3)/(2),0)`

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) ≡
`((3)/(2),0)` ............Green color

The Graph is attached below.