Find the equation of a line parallel to a line through a point

The video tutorial explains how to find the equation of a line parallel to a given line using the slope-intercept form. It emphasizes that parallel lines have the same slope and demonstrates how to calculate the new Y-intercept by substituting a given point into the equation. The tutorial concludes with deriving the final equation and encourages viewers to practice the method.

What is the key characteristic of parallel lines?

• They intersect at one point.

• They have different slopes.

• They never touch and have the same slope.

• They form a right angle.

In the slope-intercept form of a line, what does 'm' represent?

• The y-intercept

• The slope

• The y-coordinate

• The x-coordinate

If a line has a slope of 13, what will be the slope of a line parallel to it?

• 0

• 1

• 26

• 13

How do you find the y-intercept of a line that passes through a given point?

• By using the y-coordinate only

• By using the slope and the given point

• By using the slope and the x-coordinate

• By using the x-coordinate only

What is the final step in formulating the equation of a parallel line?

• Determining the line's length

• Adding the y-intercept to the equation

• Calculating the slope

• Finding the x-intercept