A line passes through $(2, 8)$ $(2 ,8 )$ and $(3, 5)$ $( 3, 5 )$ . A second line passes through $(6, 1)$ $( 6, 1 )$ . 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 $(2, 8)$ $(2 ,8 )$ and $(3, 5)$ $( 3, 5 )$ . A second line passes through $(6, 1)$ $( 6, 1 )$ . 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 · 2018-06-23T04:26:39

$One other point on the second line is (0, 3)$ $color(maroon)("One other point on the second line is " (0,3)$

Explanation:

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

As $2^{n d}$ $2^(nd)$ line is parallel to the first line, slope of second line also $3$ $3$

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

$(y - 6) = 3 \cdot (x - 1)$ $(y - 6) = 3 * (x - 1)$

$3 x - y = - 3$ $3x - y = -3$

Let x = 0. Then y = 3#

$One other point on the second line is (0, 3)$ $color(maroon)("One other point on the second line is " (0,3)$

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A line passes through $(2, 8)$ $(2 ,8 )$ and $(3, 5)$ $( 3, 5 )$ . A second line passes through $(6, 1)$ $( 6, 1 )$ . 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 (2,8)(2 ,8 ) and (3,5)( 3, 5 ). A second line passes through (6,1)( 6, 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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Impact of this question

A line passes through $(2, 8)$ $(2 ,8 )$ and $(3, 5)$ $( 3, 5 )$ . A second line passes through $(6, 1)$ $( 6, 1 )$ . What is one other point that the second line may pass through if it is parallel to the first line?