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Graph the equation y = -6x + 12

User Calla
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Answer:

The three points for the line y = -6x + 12 ...Red color line

point A( x₁ , y₁) ≡ ( 0 , 12) (blue color point on the graph)

point B( x₂ , y₂) ≡ (2 , 0) (green color point on the graph)

point C(x₃ , y₃ ) ≡ (1 , 6) (purple color point on the graph)

The Graph is attached below.

Step-by-step explanation:

Given:


y = -6x +12 ........... equation of a line

Let the points be point A, point B, and point C

To Find:

point A( x₁ , y₁) ≡ ?

point B( x₂ , y₂) ≡ ?

point C(x₃ , y₃ ) ≡ ?

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 = 0 + 12

y = 12

∴ point A( x₁ , y₁) ≡ ( 0 , 12)

For point B( x₂ , y₂)

Put y= 0 in the given equation we get

0 = -6x + 12

6x = 12


x=(12)/(6)=2

∴ point B( x₂ , y₂) ≡ (2 , 0)

For point C(x₃ , y₃ )

Put x = 1 in the given equation we get

y = -6 × 1 + 12

y = 6

∴ point C(x₃ , y₃ )≡ (1 , 6)

Therefore,

The three points for the line -2y = -x + 8 are

point A( x₁ , y₁) ≡ ( 0 , 12) (blue color point on the graph)

point B( x₂ , y₂) ≡ (2 , 0) (green color point on the graph)

point C(x₃ , y₃ ) ≡ (1 , 6) (purple color point on the graph)

The Graph is attached below..

Graph the equation y = -6x + 12-example-1
User Mimming
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