Answer:
The two points for the line y = -5x are
point A( x₁ , y₁) ≡ ( 1 ,-5) (blue color in below graph)
point B( x₂ , y₂) ≡ (-1 , 5) (green color in below graph )
Graph as as attachment in below graph
Step-by-step explanation:
Given:
y = -5x ........... equation of a 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 = 1 in the given equation we get
y = -5×1
y = -5
∴ y = -5
∴ point A( x₁ , y₁) ≡ ( 1 ,-5)
For point B( x₂ , y₂)
Put y= -1 in the given equation we get
y = -5×-1
y = 5
∴ y = 5
∴ point B( x₂ , y₂) ≡ (-1 , 5)
Therefore,
The two points for the line y = -5x are
point A( x₁ , y₁) ≡ ( 1 ,-5) (blue color in below graph)
point B( x₂ , y₂) ≡ (-1 , 5) (green color in below graph)
Graph as as attachment in below graph
