Understanding Parallel Lines and Slopes

The video tutorial explains the properties of parallel lines on a coordinate plane, emphasizing that they have equal slopes. It demonstrates how to find a line parallel to a given line by using the same slope and a different Y-intercept. The tutorial also covers the equation of a line, y = mx + b, and how to calculate the y-coordinate for a given x-coordinate using this formula.

What is a defining feature of parallel lines on a coordinate plane?

• They never touch each other.

• They have different slopes.

• They form a right angle.

• They intersect at one point.

Why do parallel lines have equal slopes?

• To create a perpendicular line.

• Because they are on different planes.

• To ensure they never intersect.

• To form a triangle.

What happens if one of the parallel lines has a different slope?

• They will form a triangle.

• They will become perpendicular.

• They will intersect eventually.

• They will remain parallel.

If two lines have the same slope, what can be said about their relationship?

• They form a triangle.

• They are parallel.

• They are perpendicular.

• They intersect at one point.

In the context of parallel lines, what does 'rise over run' refer to?

• The x-coordinate.

• The slope of the line.

• The y-intercept.

• The midpoint of the line.

If you know the slope of one parallel line, how can you find the slope of another parallel line?

• By subtracting 1 from the slope.

• By adding 1 to the slope.

• By using the same slope.

• By doubling the slope.

How can you find a new line parallel to a given line?

• Use the same slope and x-intercept.

• Use the same slope and a different y-intercept.

• Use a different slope and the same y-intercept.

• Use a different slope and x-intercept.

What is the first step in finding a line parallel to a given line?

• Find the midpoint.

• Change the y-intercept.

• Use the same slope.

• Change the slope.

What does the 'b' represent in the equation y = mx + b?

• The y-intercept.

• The midpoint of the line.

• The x-coordinate.

• The slope of the line.

In the equation y = mx + b, what does 'm' stand for?

• The y-intercept.

• The x-coordinate.

• The slope of the line.

• The midpoint of the line.