A line passes through $(3, 4)$ $(3 ,4 )$ and $(7, 3)$ $(7 ,3 )$ . A second line passes through $(8, 8)$ $(8 ,8 )$ . 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 · 2018-04-01T08:57:36

Coordinates of the other point in the second line can have values

$(4, 9), (12, 7), (24, 4)$ $(4,9), (12,7), (24,4)$ and so on resulting in slope $m = - \frac{1}{4}$ $m = -1/4$

Slope of a line is given by the formula $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $m = (y_2 - y_1) / (x_2 - x_1)$

For two lines to be parallel, their slopes must be equal.

Slope of first line $m = \frac{3 - 4}{7 - 3} = - \frac{1}{4}$ $m = (3-4) / (7-3) = -1/4$

hence slope slope of second line is also $m = - \frac{1}{4}$ $m = -1/4$

$:. m = -1/4 = (y_2 - 8) / (x_2 - 8)$

Coordinates of the other point in the second line can have values

$(4,9), (12,7), (24,4)$ and so on.

A line passes through (3 ,4 )(3,4)(3 ,4 ) and (7 ,3 )(7,3)(7 ,3 ). A second line passes through (8 ,8 )(8,8)(8 ,8 ). What is one other point that the second line may pass through if it is parallel to the first line?