A line passes through $(4, 8)$ $(4 ,8 )$ and $(1, 5)$ $( 1, 5 )$ . A second line passes through $(6, 8)$ $( 6, 8 )$ . What is one other point that the second line may pass through if it is parallel to the first line?

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A line passes through $(4, 8)$ $(4 ,8 )$ and $(1, 5)$ $( 1, 5 )$ . A second line passes through $(6, 8)$ $( 6, 8 )$ . 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 · 2018-06-23T04:18:21

$One other point on the second line is (- 2, 0)$ $color(blue)("One other point on the second line is " (-2, 0)$

Explanation:

$Slope of line 1 = m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{5 - 8}{1 - 4} = 1$ $"Slope of line 1 " = m = (y_2 - y_1) / (x_2 - x_1) = (5-8) / (1-4) = 1$

As $2^{n d}$ $2^(nd)$ line is parallel to the first line, slope of second line also $1$ $1$

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

$(y - 8) = 1 \cdot (x - 6)$ $(y - 8) = 1 * (x - 6)$

$x - y = - 2$ $x - y = -2$

Let y = 0. Then x = -2#

$One other point on the second line is (- 2, 0)$ $color(blue)("One other point on the second line is " (-2, 0)$

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A line passes through $(4, 8)$ $(4 ,8 )$ and $(1, 5)$ $( 1, 5 )$ . A second line passes through $(6, 8)$ $( 6, 8 )$ . 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

Science

Math

Humanities

... and beyond

A line passes through (4,8)(4 ,8 ) and (1,5)( 1, 5 ). A second line passes through (6,8)( 6, 8 ). 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 $(4, 8)$ $(4 ,8 )$ and $(1, 5)$ $( 1, 5 )$ . A second line passes through $(6, 8)$ $( 6, 8 )$ . What is one other point that the second line may pass through if it is parallel to the first line?