P (-1, 2)

Q (k, -4)
m= -1/2

determine k so that the line through the given points will have slope m.

how do you do this?

2 answers

Formula of a slope is (y2-y1)/(x2-x1)

K is your variable for x2

Substitute:

2- -4 (or 2+4) divided by -1-k

Set the equation and solve for "k":

6/(-1-k) = -1/2

6 = (1+k)/2
12 = 1+k
k = 11
x1*

Excuse me. k is your variable for x1 the way I set it up.