A line passes through $(1, 5)$ $(1 ,5 )$ and $(8, 3)$ $(8 ,3 )$ . A second line passes through $(7, 6)$ $(7 ,6 )$ . 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 $(1, 5)$ $(1 ,5 )$ and $(8, 3)$ $(8 ,3 )$ . A second line passes through $(7, 6)$ $(7 ,6 )$ . 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 · 2018-06-23T06:31:29

$One other point on the second line is (21, 2)$ $color(green)("One other point on the second line is " (21,2)$

Explanation:

$Slope of line 1 = m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{3 - 5}{8 - 1} = - \frac{2}{7}$ $"Slope of line 1 " = m = (y_2 - y_1) / (x_2 - x_1) = (3-5) / (8-1) = -2/7$

![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 $- \frac{2}{7}$ $-2/7$

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

$(y - 6) = - \frac{2}{7} \cdot (x - 7)$ $(y - 6) = -2/7 * (x - 7)$

$7 y - 42 = - 2 x + 14$ $7y - 42 = -2x + 14$

$2 x + 7 y = 56$ $2x + 7y = 56$

Let y = 2. Then x = 21#

$One other point on the second line is (21, 2)$ $color(green)("One other point on the second line is " (21,2)$

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A line passes through $(1, 5)$ $(1 ,5 )$ and $(8, 3)$ $(8 ,3 )$ . A second line passes through $(7, 6)$ $(7 ,6 )$ . 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 (1,5)(1 ,5 ) and (8,3)(8 ,3 ). A second line passes through (7,6)(7 ,6 ). 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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A line passes through $(1, 5)$ $(1 ,5 )$ and $(8, 3)$ $(8 ,3 )$ . A second line passes through $(7, 6)$ $(7 ,6 )$ . What is one other point that the second line may pass through if it is parallel to the first line?