A line passes through $(5, 9)$ $(5 ,9 )$ and $(8, 3)$ $(8 ,3 )$ . A second line passes through $(3, 6)$ $(3 ,6 )$ . 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 $(3, 6)$ $(3 ,6 )$ . 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 · 2016-05-15T07:09:13

Any point lying on $2 x + y = 12$ $2x+y=12$ , will satisfy this condition. One such point is $(- 9, 30)$ $(-9,30)$

Explanation:

The slope of line passing through $(x_{1}, y_{1})$ $(x_1,y_1)$ and $(x_{2}, y_{2})$ $(x_2,y_2)$ is given by $\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $(y_2-y_1)/(x_2-x_1)$ ,

Hence slope of line joining $(5, 9)$ $(5,9)$ and $(8, 3)$ $(8,3)$ is $\frac{3 - 9}{8 - 5} = - \frac{6}{3} = - 2$ $(3-9)/(8-5)=-6/3=-2$

Slope of a line parallel to this line will also be $- 2$ $-2$ and using point slope form of equation the equation of line passing through $(3, 6)$ $(3,6)$ and a slope of $- 2$ $-2$ is

$(y - 6) = (- 2) \cdot (x - 3)$ $(y-6)=(-2)*(x-3)$ or $y - 6 = - 2 x + 6$ $y-6=-2x+6$ or $2 x + y = 12$ $2x+y=12$

Hence any point lying on $2 x + y = 12$ $2x+y=12$ , will satisfy this condition.

Let us put $x = - 9$ $x=-9$ then $- 18 + y = 12$ $-18+y=12$ or $y = 30$ $y=30$

Hence one such point is $(- 9, 30)$ $(-9,30)$

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A line passes through $(5, 9)$ $(5 ,9 )$ and $(8, 3)$ $(8 ,3 )$ . A second line passes through $(3, 6)$ $(3 ,6 )$ . 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

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