Question

How do I graph the linear equation y=-1/2x + 4

Answer 1

Answer:

The Two points for the line  $y =\frac{-1}{2}x+4$ are

point A( x₁ , y₁) ≡ ( 0 , 4)

point B( x₂ , y₂) ≡ (8 , 0)  

The Graph is attached below.

Step-by-step explanation:

Given:

$y =\frac{-1}{2}x+4$........... equation of a line  Given

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.

For point A( x₁ , y₁)

Put x = 0 in the given equation we get

$y =\frac{-1}{2}0+4\\\\y=4$

∴ point A( x₁ , y₁) ≡ ( 0 , 4)

For point B( x₂ , y₂)

Put y= 0 in the given equation we get

$0 =\frac{-1}{2}x+4\\\\x=8$

∴ point B( x₂ , y₂)  ≡ (8 , 0)

Therefore,

The  points for the line  $y =\frac{-1}{2}x+4$ are

point A( x₁ , y₁) ≡ ( 0 , 4) (blue color point on the graph)

point B( x₂ , y₂) ≡ (8 , 0) (green color point on the graph)

The Graph is attached below..