The inclination of the straight line passing through the point A(-3, 6) and the mid-point of the line joining the B(4,−5)  and C(−2,9), with x-axis is

The coordinates of the mid-point D of line segment BC are (1, 2).∴   Slope of AD=6-2-3-1=-1⇒  tan⁡θ=−1, where θ is the angle made by AD with x-axis⇒ θ=3π4So, AD makes angle 3π4 with x-axis.