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Quadrilateral EFGH is on a coordinate plane.Segment GH is on the line 2x+y=2, and segment FE is on the line 2x+y=4. Which statement proves how segments GH and FE are related?

A.They have slopes that are opposite reciprocals of 2 and -2 and are , therefore, perpendicular.

B. They have the same slope of 2 and are , therefore, parallel.

C. They have slopes that are opposite reciprocals of 0 and undefined and are, therefore, perpendicular.

D. They have the same slope of -2 and are , therefore, parallel.

Respuesta :

luisejr77

Answer: OPTION D.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

[tex]y=mx+b[/tex]

Where "m" is the slope and "b" is the y-intercept.

You know that the segment GH is on this line:

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

Solving for "y", you get:

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

So you can identify that:

[tex]m=-2\\b=2[/tex]

The segment FE is on this line:

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

Solving for "y", you get:

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

Then you can identify that:

[tex]m=-2\\b=4[/tex]

As you can notice, the lines have the same slope of [tex]-2[/tex]. This means that they are parallel.

mollymaelynn

Answer: D

Option D

Step-by-step explanation:

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