Q7 of 112 Page 163

Find the equation of the straight line which passes through the midpoint of the line segment joining (4, 2) and (3, 1) whose angle of inclination is 30°.

The equation of the line with the given slope m and passing through the point (x1, y1) is given by the slope–point form


y– y1 = m (x – x1)


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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