Find the equation of straight line passing through the mid-point of (1,2) and (3,4) and having slope 3. Note: write full steps​

Let us assume the two points ( 1 , 2 ) and ( 3 , 4 ) be ( x₁ , y₁ ) and ( x₂ , y₂ ) respectively. Now , Find out the midpoint of those points :

To find the equation of straight line passing through a point and a slope , we use the equation of straight line in point slope form i.e y - y₁ = m ( x - x₁ ).We have : Slope ( m ) = 3 & assume the midpoint of ( 1 , 2 ) and ( 3 , 4 ) i.e ( 2 , 3 ) be ( x₁ , y₁ ).

Hence , The required equation of a straight line is 3x - y - 3 = 0 .

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