A line passes through $(5, 6)$ $(5 ,6 )$ and $(7, 3)$ $(7 ,3 )$ . A second line passes through $(2, 1)$ $(2 ,1 )$ . 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 $(5, 6)$ $(5 ,6 )$ and $(7, 3)$ $(7 ,3 )$ . A second line passes through $(2, 1)$ $(2 ,1 )$ . 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 · 2018-06-23T04:14:26

$One other point on the second line is (0, 4)$ $color(blue)("One other point on the second line is " (0, 4)$

Explanation:

$Slope of line 1 = m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{3 - 6}{7 - 5} = - \frac{3}{2}$ $"Slope of line 1 " = m = (y_2 - y_1) / (x_2 - x_1) = (3-6) / (7-5) = -3/2$

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

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

$(y - 1) = - (\frac{3}{2}) \cdot (x - 2)$ $(y - 1) = -(3/2) * (x - 2)$

$2 y - 2 = - 3 x + 6$ $2y - 2 = -3x + 6$

$3 x + 2 y = 8$ $3x + 2y = 8$

Let x = 0. Then y = 4#

$One other point on the second line is (0, 4)$ $color(blue)("One other point on the second line is " (0, 4)$

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A line passes through $(5, 6)$ $(5 ,6 )$ and $(7, 3)$ $(7 ,3 )$ . A second line passes through $(2, 1)$ $(2 ,1 )$ . 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 (5,6)(5 ,6 ) and (7,3)(7 ,3 ). A second line passes through (2,1)(2 ,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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A line passes through $(5, 6)$ $(5 ,6 )$ and $(7, 3)$ $(7 ,3 )$ . A second line passes through $(2, 1)$ $(2 ,1 )$ . What is one other point that the second line may pass through if it is parallel to the first line?