A line passes through $(8, 2)$ $(8 ,2 )$ and $(2, 1)$ $(2 ,1 )$ . A second line passes through $(3, 5)$ $(3 ,5 )$ . 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 $(8, 2)$ $(8 ,2 )$ and $(2, 1)$ $(2 ,1 )$ . A second line passes through $(3, 5)$ $(3 ,5 )$ . 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 · 2016-03-20T11:22:22

(9,6)

Explanation:

The first step is to calculate the gradient of the line passing through the 2 given points, using the $gradient formula$ $color(blue)" gradient formula "$

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

where $(x_{1}, y_{1}) and (x_{2}, y_{2}) are 2 coordinate points$ $(x_1,y_1)" and " (x_2,y_2)" are 2 coordinate points "$

let $(x_{1}, y_{1}) = (8, 2) and (x_{2}, y_{2}) = (2, 1)$ $(x_1,y_1)=(8,2)" and " (x_2,y_2)=(2,1)$

hence $m = \frac{1 - 2}{2 - 8} = \frac{- 1}{- 6} = \frac{1}{6}$ $m = (1-2)/(2-8) =(-1)/(-6) = 1/6$

The second line is parallel and will also have $m = \frac{1}{6}$ $m = 1/6$

There will be an infinite number of points along with (3,5) which will have the same gradient. To find a point (add 1 to y-coord and 6 to x-coord) From definition of gradient.

$\Rightarrow (3 + 6, 5 + 1) = (9, 6) \to (15, 7) is another point$ $rArr (3+6, 5+1) = (9,6) → (15,7)" is another point "$

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A line passes through $(8, 2)$ $(8 ,2 )$ and $(2, 1)$ $(2 ,1 )$ . A second line passes through $(3, 5)$ $(3 ,5 )$ . 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 (8,2)(8 ,2 ) and (2,1)(2 ,1 ). A second line passes through (3,5)(3 ,5 ). 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 $(8, 2)$ $(8 ,2 )$ and $(2, 1)$ $(2 ,1 )$ . A second line passes through $(3, 5)$ $(3 ,5 )$ . What is one other point that the second line may pass through if it is parallel to the first line?