Answer:
parallel lines have the same slope. so your new equation will be y = 7/3x + b
to find b, plug in the (x, y) values of (-9, 4) since the line has to pass through this point.
a. 4 = (7/3)(-9) + b
b. 4 = -21 + b
c. b = 4 +21
d. b = 25
your equation is y = 7/3x + 25
perpendicular lines have reciprocated slopes. so your new equation will be y = -3/7x + b
to find b, plug in the (x, y) values of (-9, 4) since the line has to pass through this point.
a. 4 = (-3/7)(-9) + b
b. 4 = (27/7) + b
c. b = 4 - (27/7)
i. (112/28) - (108/28) = 4/28
d. b = 1/7
your equation is y = -3/7x + 1/7
hope this helps :)