How do you determine the missing coordinate P(3, 2) and Q(8,_) if slope is -1?

1 Answer
Jun 15, 2015

Q has coordinates (8,-3)

Explanation:

The slope between two points, P and Q is defined to be
#m= (y_Q - y_P)/(x_Q-x_P)#

Given #P=(3,2)#, #Q=(8,x)#, and #m= -1#
we have
#color(white)("XXXX")##-1 = (x-2)/(8-3)#

#rArr##color(white)("XXXX")##x-2 = -5#

#rArr##color(white)("XXXX")##x = -3#