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Two lines on a graph are **parallel to each other** when they have **the same slope** but **different y-intercepts**.
In other words:
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They rise and run at the same rate, so they never meet.
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Their equations look like:
[
y = m x + b_1 \quad \text{and} \quad y = m x + b_2
]
where (m) is the slope (same for both lines) and (b_1 \neq b_2) are the y-intercepts.
Example:
[
y = 2x + 3 \quad \text{and} \quad y = 2x - 5
]
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Both lines have slope 2 → parallel
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Different y-intercepts → they don’t intersect.
So the key rule: **same slope, different y-intercept → lines are parallel.**
What else can I help you with?
What does the graph do when the line y-intercepts is changed?
The lines become parallel to each other providing that the slope remains the same.
Which lines run horzonally parallel to each other?
parallel lines.....
Are the lines of latitude of parallel or perpendicular to each other?
They are parallel to each other.
What are two lines called that never cross each other?
parallel lines
Do parallel lines intercept?
No, parallel lines never meet or cross each other.
What does the graph do when the line y-intercepts is changed?
The lines become parallel to each other providing that the slope remains the same.
Can perpendicular lines also be parallel lines?
Perpendicular lines can not be parallel to each other but they can be to other lines.
Which lines run horzonally parallel to each other?
parallel lines.....
Are the lines of latitude of parallel or perpendicular to each other?
They are parallel to each other.
If two lines are parallel to a third line then the two lines are parallel?
They are parallel to each other.
What is Transitive property of parallel lines?
If two lines are parallel to the same line, then they are parallel to each other.
Does the letter e have parallel lines?
E does have parallel lines. The three line are parallel to each other
What is the transitive property of parallel lines?
If two lines are parallel to the same line, then they are parallel to each other.
What are two lines called that never cross each other?
parallel lines
Do parallel lines intercept?
No, parallel lines never meet or cross each other.
Skew lines and parallel lines exactly the same?
Skew lines are not parallel. Parallel lines are across from each other in some way and are exactly parallel.
How do you describe parallel?
Two lines on a graph that are parallel have the same slope and they will never meet. Two objects (such as two pencils) that are parallel are at the same angle. Two sides of a shape that are parallel are across from each other and at the same angle.
