Question

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

Answer 1

Answer:

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

$x-3y=-12$

Step-by-step explanation:

Given:  

Let,  

point A( x₁ , y₁) ≡ ( 3 , 5)

$Slope = m =\dfrac{1}{3}$  

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

$(y-5)=\dfrac{1}{3}(x-3)\\\\3y-15=x-3\\x-3y=-15+3=-12$

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

$x-3y=-12$