(i) Find the gradient of a straight line which is passes through the point (-3. 6) and the mid point of (4,-5) and (-2, 9)

Explanation

The coordinates of the mid-point` D `of the segment `BC` are `(1,2).`

`\therefore` Slope of `A D=\frac{6-2}{-3-1}=-1`

`\Rightarrow \theta=-1`, where `\theta` is the angle made by` AD` with `x`-axis


`\Rightarrow \theta=\frac{3 \pi}{4}`


So, `AD` makes angles `\frac{3 \pi}{4} `with `x`-axis