What is the equation of the line that goes through #(5,9)# and #( 0,- 8)#?

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What is the equation of the line that goes through #(5,9)# and #( 0,- 8)#?

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Answer 1 · 2017-04-22T09:47:20

# 17x-5y=40#

Explanation:

# (x_1,y_1) = (5,9) #
# (x_2,y_2) = (0,-8) #
eq of line passing through these two points : # (y-y_1)/(x-x_1) = (y_2-y_1 )/(x_2-x_1) #
# (y-9)/(x-5) = (-8-9)/(0-5) #
# y-9 = (x-5)17/5 #
# 5y-45 = 17x-85 #
# 17x-5y-40=0 #

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What is the equation of the line that goes through #(5,9)# and #( 0,- 8)#?

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