Answer :

The equation of the line with the given slope m and passing through the point (x_{1}, y_{1}) is given by the slope–point form

y– y_{1} = m (x – x_{1})

here given angle of inclination = 30°

⇒ slope (m) = tan 30 ° =

Also the line passes through the midpoint of the line segment joining points (4, 2) and (3, 1)

⇒ the line passes through the point (

The equation of the required line is

⇒

⇒

⇒ 2x –2 √3 y + (3√3–7) = 0

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