A line passes through $(3, 6)$ $(3 ,6 )$ and $(4, 5)$ $(4 ,5 )$ . A second line passes through $(4, 3)$ $(4 ,3 )$ . 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 $(3, 6)$ $(3 ,6 )$ and $(4, 5)$ $(4 ,5 )$ . A second line passes through $(4, 3)$ $(4 ,3 )$ . 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 · 2018-06-23T06:14:14

$One other point on the second line is (7, 0)$ $color(ash)("One other point on the second line is " (7, 0)$

Explanation:

$Slope of line 1 = m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{5 - 6}{4 - 3} = - 1$ $"Slope of line 1 " = m = (y_2 - y_1) / (x_2 - x_1) = (5-6) / (4-3) = -1$

![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 $- 1$ $-1$

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

$(y - 3) = - 1 \cdot (x - 4)$ $(y - 3) = -1 * (x - 4)$

$x + y = 7$ $x + y = 7$

Let y = 0. Then x = 7#

$One other point on the second line is (7, 0)$ $color(ash)("One other point on the second line is " (7, 0)$

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A line passes through $(3, 6)$ $(3 ,6 )$ and $(4, 5)$ $(4 ,5 )$ . A second line passes through $(4, 3)$ $(4 ,3 )$ . 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 (3,6)(3 ,6 ) and (4,5)(4 ,5 ). A second line passes through (4,3)(4 ,3 ). 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 $(3, 6)$ $(3 ,6 )$ and $(4, 5)$ $(4 ,5 )$ . A second line passes through $(4, 3)$ $(4 ,3 )$ . What is one other point that the second line may pass through if it is parallel to the first line?