A angle between line l and the line y-3=(-1/4)(x+2) measures 60 degrees. The line l contains the point (1,5). Find all possible equations of l.

Question

mertsj · Answer

$$y-3=-\frac{1}{4}(x+2)$$
$$y=-\frac{1}{4}x-\frac{1}{2}+3$$
$$y=-\frac{1}{4}x+\frac{5}{2}$$

anonymous · Answer

One thing first.
The method I've been taught is to use
$$\tan \theta=\frac{ m1-m2 }{ 1+m1m2 }$$
where m1 and m2 are slopes of intersecting lines.

anonymous · Answer

so I have |dw:1391745308648:dw|
(Check if that's right, just in case.)