the best answer ill give Brainliest i may give it to more than one

Answer:
a) y = -2/5x + 3 b) (20, 19)
Step-by-step explanation:
a) slope of PQ => 24-9/22-16 = 15/6 = 5/2
perpendicular line have negative reciprocal slope = -2/5
substitute the new slope -2/5(m) and (5, 1) into the equation: y = mx + c to find the value of c
=> 1 = -2/5(5) + c
=> c = 3
plug in both the slope -2/5(m) and b = 3 into the equation: y = mx + c
=> y = -2/5x + 3
b) (2/3(22 -16), 2/3(24 - 9))=> (4, 10)
(16, 9) + (4, 10) = (20, 19)