Answer:
The Equation of Line Passing through A( 2 , 2), slope = 3 is
[tex]3x-y=6[/tex]
Step-by-step explanation:
Given:
A( x₁ , y₁) = ( 2 , 2)
Slope = m = 3
To Find: ( ASSUMPTION )
Equation of Line = ?
Solution:
Equation of a line passing through a points A( x₁ , y₁) and having slope m is given by the formula,
i.e equation in point - slope form
[tex](y-y_{1})=m(x-x_{1})[/tex]
Now on substituting the slope and point A( x₁ , y₁) ≡ ( 2, 2) and slope = 3 we get
[tex](y-2)=3(x-2)\\y-2=3x-6\\3x-y=6[/tex] .....Required Equation of Line
The Equation of Line Passing through A( 2 , 2), slope = 3 is
[tex]3x-y=6[/tex]