Is the line through points p(-3, -2) and q(2, 3) perpendicular to the line through points r(10, -1) and s(15, -6)? explain. a. no, their slopes are not opposite reciprocals. b. no; their slopes are not equal. c. yes; their slopes have product -1. d. yes; their slopes are equal.

line through points P(-3, -2) and Q(2, 3) 
slope = (3 + 2)/(2 + 3) = 5/5 = 1

line through points R(10, -1) and S(15, -6)
slope = (-6 + 1)/(15 - 10) = -5/5 = -1

perpendicular lines, slope is opposite and reciprocals
slope of line PQ = 1 and slope of line RS = -1
So they are perpendicular

answer
c. Yes; their slopes have product -1.