Segment AB falls on line 6x + 3y = 12. Segment CD falls on line 4x + 2y = 8. What is true about segments AB and CD? They are parallel because they have the same slope of −2. They are parallel because they have the same slope of one half. They are lines that lie exactly on top of one another because they have the same slope and the same y-intercept. They are lines that lie exactly on top of one another because they have the same slope and a different y-intercept.

Question

contestada

Respuesta :

jd213333333 jd213333333 · Answer 1 · 2021-02-13T18:22:46+01:00

They are lines that lie exactly on top of one another because they have the same slope and the same y-intercept.

Answer Link

Anshuyadav Anshuyadav · Answer 2 · 2022-06-14T07:53:35+02:00

The lines 6x + 3y = 12 and 4x + 2y = 8 lie exactly on top of one another because they have same slope and same y intercept.

The lines which coincide or lie on the top of each other are called coincident lines.

Two lines coincide to each other when they have same slope and same y intercept.

According to the given question.

We have two equation of lines.

[tex]6x + 3y = 12...(i)[/tex]

And, [tex]4x + 2y = 8...(ii)[/tex]

The equation (i) can be written as

[tex]2x + y = 4[/tex]

And equation (ii) can be written as

[tex]2x + y = 4[/tex]

Since, both the lines have same slope and same y intercept. Therefore, the given two lines coincide to each other.

Hence, the lines 6x + 3y = 12 and 4x + 2y = 8 lie exactly on top of one another because they have same slope and same y intercept.

Find out more information about coincident lines here:

https://brainly.com/question/18496998

#SPJ2