Exploring Slopes of Parallel and Perpendicular Lines

This video tutorial covers the properties of parallel and perpendicular lines, explaining how to determine if lines are parallel or perpendicular using points and equations. It includes examples of calculating slopes and using the slope-intercept form to identify line relationships. The tutorial also discusses the concept of negative reciprocals for perpendicular lines and provides step-by-step instructions for solving related problems.

What is the relationship between the slopes of two parallel lines?

• Their slopes are equal.

• Their slopes are zero.

• Their slopes are negative reciprocals.

• Their slopes are undefined.

Given points (2, 4) and (4, 7) on line A, and points (1, -3) and (3, 0) on line B, are the lines parallel?

• No, because their slopes are undefined.

• Yes, because their slopes are negative reciprocals.

• Yes, because their slopes are equal.

• No, because their slopes are not equal.

If the equation of a line is y = 1/4x - 2, what is the slope of this line?

• 1/4

• -1/4

• 4

• -4

How do you determine if two lines are parallel given their equations?

• Check if their x-intercepts are equal.

• Check if their y-intercepts are equal.

• Check if their slopes are negative reciprocals.

• Check if their slopes are equal.

What is the slope of a line that is parallel to the line with equation y = 3/2x - 9/2?

• -2/3

• 2/3

• -3/2

• 3/2

What is the product of the slopes of two perpendicular lines?

• 0

• 1

• Undefined

• -1

If line A has a slope of 3, what must be the slope of line B for it to be perpendicular to line A?

• 1/3

• -1/3

• -3

• 3

Given points (-4, 4) and (-2, 1) on line A, and points (-5, 5) and (-3, 3) on line B, are the lines perpendicular?

• Yes, because their slopes are equal.

• No, because their slopes are not negative reciprocals.

• Yes, because their slopes are negative reciprocals.

• No, because their slopes are equal.

If the equation of a line is y = -3/2x + 7, what is the slope of a line perpendicular to it?

• 3/2

• -3/2

• -2/3

• 2/3

How do you determine if two lines are perpendicular given their equations?

• Check if their slopes are equal.

• Check if their y-intercepts are equal.

• Check if their slopes are negative reciprocals.

• Check if their x-intercepts are equal.