Answer:
The Graph for Both is attached below.,
For line , y = 4x + 2 ......Red color Line on Graph
For line , y = -x + 7 ............Purple color Line on Graph.
Point of Intersection is ( 1 , 6 ) ....Orange Color
Step-by-step explanation:
Assume, y = 4x+2
Given:
For y = 4x + 2
Let the points be point A, and point B
To Find:
Point of Intersection of Two given lines= ?
Solution:
For Drawing a graph we require minimum two points but we will have here three points.
For y = 4x + 2
For point A( x₁ , y₁)
Put x = 0 in the given equation we get
y=4(0) + 2 =2
y=2
∴ y = 2
∴ point A( x₁ , y₁) ≡ ( 0 ,2)
For point B( x₂ , y₂)
Put y= 0 in the given equation we get
0= 4x+2
∴ point B( x₂ , y₂) ≡ 
Therefore,
The two points for the line 2x - 4y = 20 are
point A( x₁ , y₁) ≡ ( 0 ,-5)
point B( x₂ , y₂) ≡ (2 , 0)
Similarly,
For y = -x + 7
Put x = 0 in the given equation we get
y=-(0) + 7 =7
y=7
∴ y = 7
∴ point C( x₁ , y₁) ≡ ( 0 , 7)
For point D( x₂ , y₂)
Put y= 0 in the given equation we get
0= -x+7
∴ x = 7
∴ point D( x₂ , y₂) ≡ ( 7 , 0 )
For line , y = 4x + 2 ......Red color Line on Graph
point A( x₁ , y₁) ≡ ( 0 ,2) .....Green color point on graph
point B( x₂ , y₂) ≡ ..........Blue color point on graph
For line , y = -x + 7 ............Purple color Line on Graph
point C( x₁ , y₁) ≡ ( 0 , 7 ) .....Black color point on graph
point D( x₂ , y₂) ≡ ( 7 , 0 ) ...Red color point on graph
Point of Intersection is ( 1 , 6 ) ....Orange Color
