Exploring Linear Equations of Parallel and Perpendicular Lines

The video tutorial explains how to determine the equations of lines that are parallel or perpendicular to given lines and pass through specific points. It covers the concepts of slope, point-slope form, and slope-intercept form, providing step-by-step instructions for writing equations of lines parallel or perpendicular to given lines. The tutorial emphasizes understanding the geometric interpretation of slopes and how to apply them in different scenarios.

What is the slope of a line parallel to line l if line l has a slope of 3?

• 1

• 3

• 0

• -3

Which form is used to write the equation of a line when given a point and a slope?

• General form

• Point-slope form

• Slope-intercept form

• Standard form

If a line passes through the point (-6, 5) and is parallel to y = -2/3x - 9, what is its slope?

• 2/3

• -3/2

• -2/3

• 3/2

What is the y-intercept of the line passing through (-6, 5) and parallel to y = -2/3x - 9?

• -5

• 1

• -1

• 5

What is the slope of a line perpendicular to y = 5/2x - 6?

• 2/5

• -5/2

• -2/5

• 5/2

If a line is perpendicular to y = 5/2x - 6 and passes through (0, -4), what is its y-intercept?

• -6

• -4

• 0

• 4

What is the slope of a line perpendicular to 6x + y = 4?

• 6

• -6

• -1/6

• 1/6

If a line passes through (2, 5) and is perpendicular to 6x + y = 4, what is its slope?

• -1/6

• 6

• -6

• 1/6

What is the y-intercept of the line passing through (2, 5) and perpendicular to 6x + y = 4?

• 14/3

• 2

• 5

• 4

What is the final form of the equation of a line passing through (2, 5) and perpendicular to 6x + y = 4?

• y = 1/6x + 14/3

• y = -6x + 14/3

• y = 6x + 14/3

• y = -1/6x + 14/3