Respuesta :

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)