Understanding Perpendicular Lines in Linear Equations

The video tutorial explains how to find the equation of a line perpendicular to a given line in slope-intercept form. It starts by identifying the slope of the given line and finding the negative reciprocal to determine the slope of the perpendicular line. The tutorial then uses the given point to find the y-intercept of the perpendicular line, resulting in the final equation. The solution is verified by graphing and checking the intersection angle. The tutorial emphasizes understanding slope-intercept form and the relationship between perpendicular slopes.

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

• Calculate the length of the given line.

• Find the midpoint of the given line.

• Determine the slope of the given line.

• Identify the y-intercept of the given line.

In the slope-intercept form of a line, what does the 'M' represent?

• The slope of the line.

• The x-intercept of the line.

• The midpoint of the line.

• The y-intercept of the line.

How do you find the slope of a line that is perpendicular to another line with a slope of 3?

• Subtract 1 from the slope.

• Add 1 to the slope.

• Take the negative reciprocal of the slope.

• Multiply the slope by 3.

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

• 1/3

• -3

• -1/3

• 3

If a line passes through the point (0, 6), what is its y-intercept?

• 0

• 3

• 6

• -6

What is the equation of a line with a slope of -1/3 and a y-intercept of 6?

• y = 3x + 6

• y = -1/3x + 6

• y = -3x + 6

• y = 1/3x + 6

What would you do if the given point was not the y-intercept of the perpendicular line?

• Use the point to find the y-intercept through substitution.

• Use the point to find the x-intercept.

• Use the point to find the slope.

• Ignore the point.

How can you verify that two lines are perpendicular on a graph?

• Check if they have the same y-intercept.

• Check if they have the same slope.

• Check if they intersect at a right angle.

• Check if they are parallel.

What is the y-intercept of the line y = 3x - 4?

• 0

• 4

• 3

• -4

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

• It is always one.

• It is always zero.

• It is always negative one.

• It is always positive one.