A line passes through $(4, 3)$ $(4 ,3 )$ and $(2, 9)$ $(2 ,9 )$ . 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 $(4, 3)$ $(4 ,3 )$ and $(2, 9)$ $(2 ,9 )$ . 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 · 2018-06-23T06:20:28

$One other point on the second line is (6, 9)$ $color(maroon)("One other point on the second line is " (6,9)$

Explanation:

$Slope of line 1 = m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{9 - 3}{2 - 4} = - 3$ $"Slope of line 1 " = m = (y_2 - y_1) / (x_2 - x_1) = (9-3) / (2-4) = -3$

![https://math.tutorvista.com/geometry/http://distance-between-lines.html](https://useruploads.socratic.org/QH6H3aLYSWuXO6pacjwH_parallel-lines.png)

As $2^{n d}$ $2^(nd)$ line is parallel to the first line, slope of second line also $- 3$ $-3$

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

$(y - 6) = - 3 \cdot (x - 7)$ $(y - 6) = -3 * (x - 7)$

$3 x + y = 27$ $3x + y = 27$

Let y = 9. Then x = 6#

$One other point on the second line is (6, 9)$ $color(maroon)("One other point on the second line is " (6,9)$

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A line passes through $(4, 3)$ $(4 ,3 )$ and $(2, 9)$ $(2 ,9 )$ . 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 (4,3)(4 ,3 ) and (2,9)(2 ,9 ). 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 $(4, 3)$ $(4 ,3 )$ and $(2, 9)$ $(2 ,9 )$ . 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?