A line passes through $(5, 9)$ $(5 ,9 )$ and $(8, 3)$ $(8 ,3 )$ . A second line passes through $(2, 6)$ $(2 ,6 )$ . 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 $(5, 9)$ $(5 ,9 )$ and $(8, 3)$ $(8 ,3 )$ . A second line passes through $(2, 6)$ $(2 ,6 )$ . 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 · 2018-06-23T04:24:13

$One other point on the second line is (2 - 5, 0)$ $color(cyan)("One other point on the second line is " (2-5, 0)$

Explanation:

$Slope of line 1 = m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{3 - 9}{8 - 5} = - 2$ $"Slope of line 1 " = m = (y_2 - y_1) / (x_2 - x_1) = (3-9) / (8-5) = -2$

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

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

$(y - 6) = - 2 \cdot (x - 2)$ $(y - 6) = -2 * (x - 2)$

$2 x + y = 4$ $2x + y = 4$

Let x = 2. Then y = 0#

$One other point on the second line is (2, 0)$ $color(cyan)("One other point on the second line is " (2, 0)$

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A line passes through $(5, 9)$ $(5 ,9 )$ and $(8, 3)$ $(8 ,3 )$ . A second line passes through $(2, 6)$ $(2 ,6 )$ . 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 (5,9)(5 ,9 ) and (8,3)(8 ,3 ). A second line passes through (2,6)(2 ,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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Impact of this question

A line passes through $(5, 9)$ $(5 ,9 )$ and $(8, 3)$ $(8 ,3 )$ . A second line passes through $(2, 6)$ $(2 ,6 )$ . What is one other point that the second line may pass through if it is parallel to the first line?