Understanding Perpendicular Slopes

The video tutorial explains how to find the slope of a line perpendicular to a given line. It begins by introducing the concept of perpendicular slopes and the importance of negative reciprocals. The tutorial then demonstrates how to convert a linear equation into slope-intercept form to easily identify the slope. Finally, it calculates the slope of a line perpendicular to the given line by taking the negative reciprocal of the original slope.

What is the first step in finding the slope of a line perpendicular to another line?

• Find the slope of the given line

• Determine the x-intercept

• Identify the y-intercept

• Calculate the midpoint

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

• They are equal

• They are negative reciprocals

• They are both positive

• They are both negative

How do you express a linear equation in slope-intercept form?

• x = my + b

• ax + by = c

• y = ax + c

• y = mx + b

What is the slope of the line given by the equation 3x + 2y = 6?

• 3/2

• 2/3

• -3/2

• -2/3

Why is it important to convert the equation to slope-intercept form?

• To simplify the equation

• To find the y-intercept

• To easily identify the slope

• To determine the x-intercept

What does the 'm' represent in the equation y = mx + b?

• The x-intercept

• The slope

• The constant term

• The y-intercept

What operation is performed to find the slope of a perpendicular line once the original slope is known?

• Take the negative reciprocal

• Multiply by 2

• Add 1

• Divide by 3

If the slope of a line is -3/2, what is the slope of a line perpendicular to it?

• 2/3

• -2/3

• -3/2

• 3/2

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

• 3/2

• 2/3

• -3/2

• -2/3

What is the significance of the negative reciprocal in finding perpendicular slopes?

• It ensures the lines are parallel

• It ensures the lines intersect at 90 degrees

• It makes the lines identical

• It makes the lines horizontal