Write the equation of a parallel line using point slope form

The video tutorial explains how to write an equation for a line parallel to a given line using the point-slope form. It emphasizes the importance of parallel lines having the same slope and demonstrates the process of substituting a given point into the point-slope formula. The tutorial simplifies the equation to the slope-intercept form, ensuring the new line is parallel to the original and passes through the specified point.

What is the primary advantage of using point-slope form when a point is given?

• It simplifies the calculation of the y-intercept.

• It allows for easy identification of the slope.

• It directly incorporates the given point into the equation.

• It eliminates the need for graphing the line.

What is a key characteristic of parallel lines in terms of their slopes?

• Parallel lines intersect at one point.

• Parallel lines have the same slope.

• Parallel lines have slopes that add up to zero.

• Parallel lines have different slopes.

In the equation y = 6x - 2, what is the slope of the line?

• 0

• 6

• -2

• 2

When using point-slope form, what is the correct way to handle a negative y-coordinate?

• Ignore the negative sign.

• Add the negative sign to the equation.

• Convert the negative to a positive.

• Use parentheses to include the negative sign.

What is the final equation of the line parallel to y = 6x - 2 that passes through the point (1, -3)?

• y = 6x - 3

• y = 6x + 9

• y = 6x + 3

• y = 6x - 9