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?

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Answer 1 · 2018-02-04T10:23:06

One other point D is (1,10)

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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)

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