y-6=-14/11(x+4)
The slope is (6+8)/(-4-7), by the equation y1-y2/x1-x2. This equals -14/11.
In point slope, you follow the form y-y1=m(x-x1) where m is the slope, and x1 and y1 are two points on the coordinate plane. If you substitute in (-4,6), you get the second answer choice, y-6=-14/11(x+4)