Exploring Parallel and Perpendicular Lines

This video tutorial covers the concepts of parallel and perpendicular lines, focusing on their slopes. It explains how to determine if lines are parallel or perpendicular by comparing slopes, and how to find the slope of a line from an equation. The tutorial also demonstrates writing equations for lines that are parallel or perpendicular to a given line, using point-slope and slope-intercept forms. Examples are provided to illustrate these concepts, and viewers are encouraged to practice by pausing the video and solving problems on their own.

What is the relationship between the slopes of parallel lines?

• They are perpendicular.

• They are negative reciprocals.

• They are undefined.

• They are equal.

If a line has a slope of 2, what is the slope of a line perpendicular to it?

• 2

• 1/2

• -2

• -1/2

Given the equation y = -2/3x + 8/3, what is the slope of the line?

• -2/3

• 2/3

• 8/3

• -8/3

What is the slope of a line described by the equation y = 4/5x - 6?

• 4/5

• -4/5

• 5/4

• -5/4

How do you find the slope of a line perpendicular to a line with slope 5?

• -1/5

• 1/5

• -5

• 5

What is the first step in writing the equation of a line parallel to a given line?

• Find the y-intercept.

• Find the midpoint.

• Find the slope of the given line.

• Find the x-intercept.

If a line passes through the point (5, 7) and is parallel to y = 4/5x - 6, what is the slope of the new line?

• 5/4

• -5/4

• -4/5

• 4/5

What is the equation of a line that passes through (5, 7) and is parallel to y = 4/5x - 6?

• y = 4/5x + 3

• y = -4/5x + 3

• y = 4/5x - 3

• y = -4/5x - 3

What is the opposite reciprocal of the slope 5?

• -5

• 5

• -1/5

• 1/5

What is the equation of a line that passes through (-5, 3) and is perpendicular to y = 5x?

• y = -1/5x + 2

• y = 1/5x + 2

• y = -5x + 2

• y = 5x + 2