Understanding Parallel Lines and Slopes

The video explains parallel lines in the coordinate plane, emphasizing that they never intersect and have equal slopes. It provides examples to illustrate that if two lines have the same slope, they are parallel. The video also covers horizontal and vertical lines, noting that horizontal lines have a slope of zero and vertical lines have undefined slopes, yet both types can be parallel.

What is the defining characteristic of parallel lines?

• They intersect at one point.

• They have different slopes.

• They form a right angle.

• They never intersect.

In the coordinate plane, what is a unique property of parallel lines?

• They have different lengths.

• They are always horizontal.

• They have the same slope.

• They intersect at multiple points.

If two lines have equal slopes, what can be said about them?

• They intersect at one point.

• They are parallel.

• They are vertical.

• They are perpendicular.

What happens to the slopes of two lines if they are parallel?

• They remain equal.

• They become perpendicular.

• They become undefined.

• They become zero.

What is the slope of a line if Delta y is 2 and Delta x is 2?

• 0

• 1

• 2

• Undefined

If two lines have slopes of 1, what can be concluded about them?

• They are parallel.

• They are vertical.

• They are perpendicular.

• They intersect at one point.

What is the slope of a line if Delta y is 3 and Delta x is 3?

• Undefined

• 0

• 3

• 1

What is the slope of a line if Delta y is 5 and Delta x is 5?

• 0

• 1

• 5

• Undefined

What is the slope of any horizontal line?

• 1

• 2

• 0

• Undefined

Why are two horizontal lines always parallel?

• They are vertical.

• They intersect at one point.

• They have different slopes.

• They have slopes equal to zero.