A line passes through $(6, 2)$ $(6 ,2 )$ and $(5, 7)$ $(5 ,7 )$ . A second line passes through $(3, 7)$ $(3 ,7 )$ . 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 $(3, 7)$ $(3 ,7 )$ . 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 · 2018-06-23T04:11:09

$One other point on the second line is (0, - 8)$ $color(indigo)("One other point on the second line is " (0, -8)$

Explanation:

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

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 "

$(y - 7) = - 5 \cdot (x - 3)$ $(y - 7) = -5 * (x - 3)$

$5 x + y = - 8$ $5x + y = -8$

Let x = 0. Then y = -8#

$One other point on the second line is (0, - 8)$ $color(indigo)("One other point on the second line is " (0, -8)$

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A line passes through $(6, 2)$ $(6 ,2 )$ and $(5, 7)$ $(5 ,7 )$ . A second line passes through $(3, 7)$ $(3 ,7 )$ . 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 ) and (5,7)(5 ,7 ). A second line passes through (3,7)(3 ,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 $(3, 7)$ $(3 ,7 )$ . What is one other point that the second line may pass through if it is parallel to the first line?