If two lines are parallel, which statement must be true?

 A.The two lines have undefined slopes. 
B.The two lines have opposite slopes. 
C.The two lines have zero slopes. 
D.The two lines have the same slope.

Respuesta :

Answer: Option D. The two lines have the same slope.

When two lines are parallels, they must have the same slope and they never intersect, then answer is:
Option D. The two lines have the same slope.

Answer:

Option (d) is correct.

The two lines have the same slope.

Step-by-step explanation:

Given : two parallel lines

We have to choose one statement that is true regarding Parallel lines.

Parallel lines are those lines that do not intersect each other and distance between them remains same throughout the plane.

Also , parallel lines have same slope.

From the graph attached below both lines have parallel and have same slope.

equation of line :

2x + 3y = 10  and 6x + 3y = 10

Both are parallel and have slope -2

Thus, Option (d) is correct.

The two lines have the same slope.

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