Question

What is an equation for the line with a slope of 1/3x that goes through the points (3,5)

Answer 1

Therefore , Equation of Line Passing through A with slope 1/3 is

`x-3y=-12`

Explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( 3 , 5)

`Slope = m =(1)/(3)`

To Find:

Equation of Line Passing through A with slope 1/3 =?

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) ≡ ( 3 , 5) we get

`(y-5)=(1)/(3)(x-3)\\\\3y-15=x-3\\x-3y=-15+3=-12`

Therefore , Equation of Line Passing through A with slope 1/3 is

`x-3y=-12`