Answer:
k = 2
Step-by-step explanation:
slope = rise/run = (y1 - y2) / (x1 - x2)
s = (7 - (3-k)) / ((k+3) - (-5)) give slope is 3/5
3/5 = (7 - (3-k)) / ((k+3) - (-5)) then multiply both sides by ((k+3) - (-5))
(3/5)((k+3) - (-5)) = (7 - (3-k))
(3/5)(k+3+5) = 7 - 3 + k
(3/5)(k+8) = 4 + K
3k/5 + 24/5 = 4 + k
3k/5 - k = 4 - 24/5
3k/5 - 5k/5 = 20/5 - 24/5
-2k/5 = -4/5
-2k = -4
k = 2
