Identifying Parallel Lines from Linear Equations

The video tutorial explains how to determine which of three given lines are parallel by comparing their slopes. Line A is already in slope-intercept form, making it easy to identify its slope. Lines B and C are converted to slope-intercept form to find their slopes. It is concluded that lines A and C are parallel as they share the same slope, while line B is not parallel to either.

What is the main objective of the problem discussed in the video?

• To find the y-intercepts of the lines

• To determine which lines are parallel

• To convert all equations to point-slope form

• To find the intersection points of the lines

What is the equation of Line A?

• y = 3/4x + 4

• y = -3/4x - 4

• y = 3/4x - 4

• y = -3/4x + 4

What is the slope of Line A?

• -4/3

• 4/3

• 3/4

• -3/4

What is the first step to convert Line B's equation to slope-intercept form?

• Add 20 to both sides

• Divide both sides by 4

• Subtract 20 from both sides

• Multiply both sides by 4

What is the slope of Line B after converting to slope-intercept form?

• -4/3

• -3/4

• 4/3

• 3/4

What is the equation of Line C in standard form?

• -4x + 3y = 40

• 3x - 4y = 40

• -3x + 4y = 40

• 4x - 3y = 40

What is the slope of Line C after converting to slope-intercept form?

• 4/3

• -3/4

• -4/3

• 3/4

Which lines have the same slope?

• Line A and Line C

• Line A and Line B

• Line B and Line C

• None of the lines

Why are Line A and Line C considered parallel?

• They have the same y-intercept

• They intersect at one point

• They have the same slope but different y-intercepts

• They are both in standard form

Which line is not parallel to any of the other lines?

• Line B

• Line C

• Line A

• None of the lines