A line passes through $(2, 5)$ $(2 ,5 )$ and $(0, 1)$ $(0 ,1 )$ . A second line passes through $(7, 1)$ $(7 ,1 )$ . 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 $(2, 5)$ $(2 ,5 )$ and $(0, 1)$ $(0 ,1 )$ . A second line passes through $(7, 1)$ $(7 ,1 )$ . 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 · 2018-06-21T13:42:08

$p (8, 3)$ $p(8,3)$ for example

Explanation:

First, find the slope of the first line.

$m = \frac{y_{1} - y_{2}}{x_{1} - x_{2}} = \frac{5 - 1}{2 - 0} = \frac{4}{2} = 2$ $m=(y_1-y_2)/(x_1-x_2)=(5-1)/(2-0)=4/2=2$

Because line 1 is parallel to line 2, they have the same slope.
Knowing that the slope of line 2 is $m = 2 = \frac{2}{1}$ $m=2=color(red)(2)/color(blue)(1)$ as well, another point would be $p (7 + 1, 1 + 2) = p (8, 3)$ $p(7+color(blue)(1),1+color(red)(2))=p(8,3)$

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A line passes through $(2, 5)$ $(2 ,5 )$ and $(0, 1)$ $(0 ,1 )$ . A second line passes through $(7, 1)$ $(7 ,1 )$ . 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 (2,5)(2 ,5 ) and (0,1)(0 ,1 ). A second line passes through (7,1)(7 ,1 ). 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 $(2, 5)$ $(2 ,5 )$ and $(0, 1)$ $(0 ,1 )$ . A second line passes through $(7, 1)$ $(7 ,1 )$ . What is one other point that the second line may pass through if it is parallel to the first line?