A line passes through $(4 ,7 )$ and $(7 ,1 )$ . A second line passes through $(1 ,1 )$ . 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 · 2017-07-23T18:14:22

$(0, 3) and (3/2, 0)$ , for instance

$A = (4, 7), B = (7, 1), C = (1,1)$

$frac{Delta y}{Delta x} = frac{1-7}{7-4} = frac{-6}{3} = -2$

$AB: y = - 2x + 15$

$CD: y = -2x + b, y(1) = 1 => 1 = -2 + b => b =3$

$x = 0 => y = 3$

$y = 0 => x = 3/2$

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