A line passes through #(2 ,3 )# and #( 4, 1 )#. A second line passes through #( 7, 4 )#. What is one other point that the second line may pass through if it is parallel to the first line?

Question
Answer 1

One other point D is (1,10)

Given : #A(2,30, B(4,1), C(7,4)# To find one point say D,

Slope of AB = Slope of CD = (say) m

m = (1-3) / (4-2) = -1#

Equation of CD is

#y - 4 = -1 * (x - 7)#

#y + x = 11#

When x =1, y = 11 - 1 = 10#

One other point D is (1,10)

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