A line passes through $(6, 2)$ $(6 ,2 )$ and $(5, 7)$ $(5 ,7 )$ . A second line passes through $(1, 7)$ $(1 ,7 )$ . What is one other point that the second line may pass through if it is parallel to the first line?

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A line passes through $(6, 2)$ $(6 ,2 )$ and $(5, 7)$ $(5 ,7 )$ . A second line passes through $(1, 7)$ $(1 ,7 )$ . 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 · 2018-06-23T06:28:03

$One other point on the second line is (2, 2)$ $color(green)("One other point on the second line is " (2,2)$

Explanation:

$Slope of line 1 = m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{7 - 2}{5 - 6} = - 5$ $"Slope of line 1 " = m = (y_2 - y_1) / (x_2 - x_1) = (7-2) / (5-6) = -5$

![http://www.kshitij-iitjee.com/Maths/Straight-Lines/http://distance-of-a-point-from-a-line.aspx](https://useruploads.socratic.org/XB6yBdzQPmqtsBBiFyBu_parallel-lines.png)

As $2^{n d}$ $2^(nd)$ line is parallel to the first line, slope of second line also $- 5$ $-5$

#"Equation of second line in point - slope form is "

$(y - 7) = - 5 \cdot (x - 1)$ $(y - 7) = -5 * (x - 1)$

$5 x + y = 12$ $5x + y = 12$

Let y = 2. Then x = 2#

$One other point on the second line is (2, 2)$ $color(green)("One other point on the second line is " (2,2)$

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A line passes through $(6, 2)$ $(6 ,2 )$ and $(5, 7)$ $(5 ,7 )$ . A second line passes through $(1, 7)$ $(1 ,7 )$ . What is one other point that the second line may pass through if it is parallel to the first line?

1 Answer

Explanation:

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Science

Math

Humanities

... and beyond

A line passes through (6 ,2 )(6,2)(6 ,2 ) and (5 ,7 )(5,7)(5 ,7 ). A second line passes through (1 ,7 )(1,7)(1 ,7 ). What is one other point that the second line may pass through if it is parallel to the first line?

1 Answer

Explanation:

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Impact of this question

A line passes through $(6, 2)$ $(6 ,2 )$ and $(5, 7)$ $(5 ,7 )$ . A second line passes through $(1, 7)$ $(1 ,7 )$ . What is one other point that the second line may pass through if it is parallel to the first line?