Question

Passes through (2,2), slope =3

Answer 1

The Equation of Line Passing through A( 2 , 2), slope = 3 is

`3x-y=6`

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

`(y-y_(1))=m(x-x_(1))`

Now on substituting the slope and point A( x₁ , y₁) ≡ ( 2, 2) and slope = 3 we get

`(y-2)=3(x-2)\\y-2=3x-6\\3x-y=6` .....Required Equation of Line

The Equation of Line Passing through A( 2 , 2), slope = 3 is

`3x-y=6`