contestada

Quadrilateral EFGH is on a coordinate plane. Segment FG is on the line 2x − y = −3, and segment EH is on the line 2x − y = 1. Which statement proves how segments FG and EH are related?

- They have the same slope of 2 and are, therefore, parallel.
- They have slopes that are opposite reciprocals of 1 and −1 and are, therefore, perpendicular.
- They have slopes that are opposite reciprocals of 0 and undefined and are, therefore, perpendicular.
- They have the same slope of −1 and are, therefore, parallel.

Respuesta :

Answer:

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

Step-by-step explanation:

Given: Equation of FG is [tex]2x-y=-3[/tex] and equation of EH is [tex]2x-y=1[/tex]

To find: Relation between segments FG and EH

Solution:

Slope of a line describes its direction and the steepness.

Two lines are said to be parallel if their slopes are equal.

[tex]2x-y=-3[/tex]

Differentiate with respect to x

[tex]2-y'=0\\y'=m_1=2[/tex]

where [tex]m_1[/tex] denotes the slope of the line FG

[tex]2x-y=1[/tex]

Differentiate with respect to x

[tex]2-y'=0\\y'=m_2=2[/tex]

where [tex]m_2[/tex] denotes slope of line EH

As [tex]m_1=m_2=2[/tex], lines are parallel

Answer:

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

Step-by-step explanation:

I took the test and it was right

Otras preguntas