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

Question

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

1 Answer

Impact of this question

1421 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-23T04:21:13

$One other point on the second line is (- 5, 0)$ $color(purple)("One other point on the second line is " (-5, 0)$

Explanation:

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

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

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

$(y - 6) = \frac{1}{2} \cdot (x - 7)$ $(y - 6) = 1/2 * (x - 7)$

$x - 2 y = - 5$ $x - 2y = -5$

Let y = 0. Then x = -5#

$One other point on the second line is (- 5, 0)$ $color(purple)("One other point on the second line is " (-5, 0)$

Science

Math

Humanities

... and beyond

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

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

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

1 Answer

Explanation:

Related questions

Impact of this question

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