Understanding Perpendicular Slopes

The video tutorial explains how to find the slope of a line perpendicular to a given line. It begins with a review of perpendicular lines and their slopes, emphasizing the concept of negative reciprocals. The tutorial then demonstrates how to find the slope of the line 3x + 2y = 6 by converting it into slope-intercept form. Finally, it calculates the slope of a line perpendicular to it by taking the negative reciprocal of the original slope.

What is the initial problem discussed in the video?

• Finding the slope of a line parallel to another line

• Finding the slope of a line perpendicular to another line

• Finding the equation of a circle

• Finding the y-intercept of a line

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

• They are equal

• They are negative reciprocals

• They are positive reciprocals

• They are both zero

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

• m

• -m

• 1/m

• -1/m

What is the first step in finding the slope of the given line 3x + 2y = 6?

• Subtract 3x from both sides

• Add 3x to both sides

• Divide both sides by 3

• Multiply both sides by 2

What form is used to easily identify the slope of a line?

• Standard form

• Intercept form

• Point-slope form

• Slope-intercept form

What is the slope of the line 3x + 2y = 6 after converting to slope-intercept form?

• 3/2

• -2/3

• -3/2

• 2/3

What is the slope of a line perpendicular to the line with slope -3/2?

• 3/2

• -3/2

• 2/3

• -2/3

What operation is performed to find the slope of the perpendicular line?

• Taking the positive reciprocal

• Doubling the slope

• Taking the negative reciprocal

• Squaring the slope

What is the final slope of the line perpendicular to 3x + 2y = 6?

• 3/2

• -2/3

• 2/3

• -3/2

What is the significance of the negative reciprocal in the context of perpendicular lines?

• It makes the lines parallel

• It ensures the lines intersect at a 90-degree angle

• It makes the lines identical

• It makes the lines diverge