the answer is D because to find the slope of a line that is perpendicular to another, you have to find the opposite reciprocal. so here the slope would be -1/4. now, take that slope and put it into an equation. like the following:
[tex]y = \frac{ - 1}{4} x + b[/tex]
now to find b you must insert the points into the equation (plug in 4 for x, and 15 for y).
[tex]15 = \frac{ - 1}{4} (4) + b[/tex]
b then equals 16. so, the answer is D.
