Consider the line . y = 7/3x +2 Find the equation of the line that is parallel to this line and passes through the point . (-9,4) Find the equation of the line that is perpendicular to this line and passes through the point (-9,4)

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 :)

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step-by-step explanation:

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